diff --git a/test/system/005-info.bats b/test/system/005-info.bats
index c53ba81250..3f1efd364f 100644
--- a/test/system/005-info.bats
+++ b/test/system/005-info.bats
@@ -3,8 +3,6 @@
 load helpers
 
 @test "podman info - basic test" {
-    skip_if_remote "capitalization inconsistencies"
-
     run_podman info
 
     expected_keys="
@@ -28,8 +26,6 @@ runRoot:
 }
 
 @test "podman info - json" {
-    skip_if_remote "capitalization inconsistencies"
-
     run_podman info --format=json
 
     expr_nvr="[a-z0-9-]\\\+-[a-z0-9.]\\\+-[a-z0-9]\\\+\."
diff --git a/test/system/010-images.bats b/test/system/010-images.bats
index 2b1845d725..7fd731ca00 100644
--- a/test/system/010-images.bats
+++ b/test/system/010-images.bats
@@ -75,8 +75,6 @@ Size        | [0-9]\\\+
 }
 
 @test "podman images - filter" {
-    skip_if_remote "podman commit -q is broken in podman-remote"
-
     run_podman inspect --format '{{.ID}}' $IMAGE
     iid=$output
 
diff --git a/test/system/015-help.bats b/test/system/015-help.bats
index 76d29d22c9..4a37810129 100644
--- a/test/system/015-help.bats
+++ b/test/system/015-help.bats
@@ -178,6 +178,14 @@ function check_help() {
     # Called with no args -- start with 'podman --help'. check_help() will
     # recurse for any subcommands.
     check_help
+
+    # Test for regression of #7273 (spurious "--remote" help on output)
+    for helpopt in help --help; do
+        run_podman $helpopt
+        is "${lines[0]}" "Manage pods, containers and images" \
+           "podman $helpopt: first line of output"
+    done
+
 }
 
 # vim: filetype=sh
diff --git a/test/system/030-run.bats b/test/system/030-run.bats
index 41863ba04b..34afd5bae7 100644
--- a/test/system/030-run.bats
+++ b/test/system/030-run.bats
@@ -63,7 +63,7 @@ echo $rand        |   0 | $rand
 
 # 'run --preserve-fds' passes a number of additional file descriptors into the container
 @test "podman run --preserve-fds" {
-    skip_if_remote
+    skip_if_remote "preserve-fds is meaningless over remote"
 
     content=$(random_string 20)
     echo "$content" > $PODMAN_TMPDIR/tempfile
@@ -150,8 +150,6 @@ echo $rand        |   0 | $rand
 
 # 'run --rmi' deletes the image in the end unless it's used by another container
 @test "podman run --rmi" {
-    skip_if_remote
-
     # Name of a nonlocal image. It should be pulled in by the first 'run'
     NONLOCAL_IMAGE=busybox
     run_podman 1 image exists $NONLOCAL_IMAGE
diff --git a/test/system/060-mount.bats b/test/system/060-mount.bats
index 7570f3ac46..d98a3eeb12 100644
--- a/test/system/060-mount.bats
+++ b/test/system/060-mount.bats
@@ -6,7 +6,7 @@ load helpers
 @test "podman mount - basic test" {
     # Only works with root (FIXME: does it work with rootless + vfs?)
     skip_if_rootless "mount does not work rootless"
-    skip_if_remote
+    skip_if_remote "mounting remote is meaningless"
 
     f_path=/tmp/tmpfile_$(random_string 8)
     f_content=$(random_string 30)
diff --git a/test/system/075-exec.bats b/test/system/075-exec.bats
index 38c6c23126..5f71e2acbc 100644
--- a/test/system/075-exec.bats
+++ b/test/system/075-exec.bats
@@ -39,7 +39,7 @@ load helpers
 }
 
 @test "podman exec - leak check" {
-    skip_if_remote
+    skip_if_remote "test is meaningless over remote"
 
     # Start a container in the background then run exec command
     # three times and make sure no any exec pid hash file leak
@@ -61,7 +61,7 @@ load helpers
 # Issue #4785 - piping to exec statement - fixed in #4818
 # Issue #5046 - piping to exec truncates results (actually a conmon issue)
 @test "podman exec - cat from stdin" {
-    skip_if_remote
+    skip_if_remote "FIXME: pending #7360"
 
     run_podman run -d $IMAGE sh -c 'while [ ! -e /stop ]; do sleep 0.1;done'
     cid="$output"
diff --git a/test/system/120-load.bats b/test/system/120-load.bats
index 14dae4c8a9..86b396c4ae 100644
--- a/test/system/120-load.bats
+++ b/test/system/120-load.bats
@@ -27,13 +27,25 @@ verify_iid_and_name() {
 }
 
 @test "podman save to pipe and load" {
+    get_iid_and_name
+
     # We can't use run_podman because that uses the BATS 'run' function
     # which redirects stdout and stderr. Here we need to guarantee
     # that podman's stdout is a pipe, not any other form of redirection
-    $PODMAN save --format oci-archive $IMAGE | cat >$PODMAN_TMPDIR/test.tar
-    [ $status -eq 0 ]
+    $PODMAN save --format oci-archive $IMAGE | cat >$archive
+    if [ "$status" -ne 0 ]; then
+        die "Command failed: podman save ... | cat"
+    fi
+
+    # Make sure we can reload it
+    # FIXME: when/if 7337 gets fixed, add a random tag instead of rmi'ing
+    # FIXME: when/if 7371 gets fixed, use verify_iid_and_name()
+    run_podman rmi $iid
+    run_podman load -i $archive
 
-    run_podman load -i $PODMAN_TMPDIR/test.tar
+    # FIXME: cannot compare IID, see #7371
+    run_podman images -a --format '{{.Repository}}:{{.Tag}}'
+    is "$output" "$IMAGE" "image preserves name across save/load"
 }
 
 
diff --git a/test/system/200-pod.bats b/test/system/200-pod.bats
index f3ec8a67cf..7189d7e4bc 100644
--- a/test/system/200-pod.bats
+++ b/test/system/200-pod.bats
@@ -96,9 +96,8 @@ function teardown() {
     run_podman rm $cid1
 
     # ...then, from pause container, find the image ID of the pause image...
-    # FIXME: if #6283 gets implemented, use 'inspect --format ...'
-    run_podman pod inspect $podname
-    pause_cid=$(jq -r '.Containers[0].Id' <<<"$output")
+    run_podman pod inspect --format '{{(index .Containers 0).ID}}' $podname
+    pause_cid="$output"
     run_podman container inspect --format '{{.Image}}' $pause_cid
     pause_iid="$output"
 
diff --git a/test/system/250-systemd.bats b/test/system/250-systemd.bats
index b7035cdda4..bbb5a10fb4 100644
--- a/test/system/250-systemd.bats
+++ b/test/system/250-systemd.bats
@@ -18,7 +18,7 @@ fi
 UNIT_FILE="$UNIT_DIR/$SERVICE_NAME.service"
 
 function setup() {
-    skip_if_remote
+    skip_if_remote "systemd tests are meaningless over remote"
 
     basic_setup
 }
diff --git a/test/system/260-sdnotify.bats b/test/system/260-sdnotify.bats
index 7be4be9831..62d3c14972 100644
--- a/test/system/260-sdnotify.bats
+++ b/test/system/260-sdnotify.bats
@@ -10,7 +10,7 @@ _SOCAT_PID=
 _SOCAT_LOG=
 
 function setup() {
-    skip_if_remote
+    skip_if_remote "systemd tests are meaningless over remote"
 
     skip "FIXME FIXME FIXME, is this what's causing the CI hang???"
 
diff --git a/test/system/500-networking.bats b/test/system/500-networking.bats
index 234bc1187d..0fae3dcd3b 100644
--- a/test/system/500-networking.bats
+++ b/test/system/500-networking.bats
@@ -7,7 +7,7 @@ load helpers
 
 # Copied from tsweeney's https://github.com/containers/podman/issues/4827
 @test "podman networking: port on localhost" {
-    skip_if_remote
+    skip_if_remote "FIXME: reevaluate this one after #7360 is fixed"
     random_1=$(random_string 30)
     random_2=$(random_string 30)
 
@@ -62,8 +62,6 @@ load helpers
 
 # Issue #5466 - port-forwarding doesn't work with this option and -d
 @test "podman networking: port with --userns=keep-id" {
-    skip_if_remote
-
     # FIXME: randomize port, and create second random host port
     myport=54321