diff --git a/src/pip/_internal/operations/prepare.py b/src/pip/_internal/operations/prepare.py
index 3a671f4d449..dbb51f8b454 100644
--- a/src/pip/_internal/operations/prepare.py
+++ b/src/pip/_internal/operations/prepare.py
@@ -564,18 +564,17 @@ def _complete_partial_requirements(
         links_to_fully_download: Dict[Link, InstallRequirement] = {}
         for req in partially_downloaded_reqs:
             assert req.link
-            # (1) File URLs don't need to be downloaded, so skip them.
-            if req.link.scheme == "file":
-                continue
-            # (2) If this is e.g. a git url, we don't know how to handle that in the
+            # If this is e.g. a git url, we don't know how to handle that in the
             # BatchDownloader, so leave it for self._prepare_linked_requirement() at the
             # end of this method, which knows how to handle any URL.
+            can_simply_download = True
             try:
                 # This will raise InvalidSchema if our Session can't download it.
                 self._session.get_adapter(req.link.url)
-                links_to_fully_download[req.link] = req
             except InvalidSchema:
-                pass
+                can_simply_download = False
+            if can_simply_download:
+                links_to_fully_download[req.link] = req
 
         batch_download = self._batch_download(
             links_to_fully_download.keys(),
diff --git a/tests/functional/test_check.py b/tests/functional/test_check.py
index e2b1c60ef3a..a5715bb8cba 100644
--- a/tests/functional/test_check.py
+++ b/tests/functional/test_check.py
@@ -119,7 +119,7 @@ def test_check_complicated_name_missing(script: PipTestEnvironment) -> None:
 
     # Without dependency
     result = script.pip("install", "--no-index", package_a_path, "--no-deps")
-    assert "Successfully installed package-A-1.0" in result.stdout, str(result)
+    assert "Successfully installed package-a-1.0" in result.stdout, str(result)
 
     result = script.pip("check", expect_error=True)
     expected_lines = ("package-a 1.0 requires dependency-b, which is not installed.",)
@@ -142,7 +142,7 @@ def test_check_complicated_name_broken(script: PipTestEnvironment) -> None:
 
     # With broken dependency
     result = script.pip("install", "--no-index", package_a_path, "--no-deps")
-    assert "Successfully installed package-A-1.0" in result.stdout, str(result)
+    assert "Successfully installed package-a-1.0" in result.stdout, str(result)
 
     result = script.pip(
         "install",
@@ -175,7 +175,7 @@ def test_check_complicated_name_clean(script: PipTestEnvironment) -> None:
     )
 
     result = script.pip("install", "--no-index", package_a_path, "--no-deps")
-    assert "Successfully installed package-A-1.0" in result.stdout, str(result)
+    assert "Successfully installed package-a-1.0" in result.stdout, str(result)
 
     result = script.pip(
         "install",
@@ -203,7 +203,7 @@ def test_check_considers_conditional_reqs(script: PipTestEnvironment) -> None:
     )
 
     result = script.pip("install", "--no-index", package_a_path, "--no-deps")
-    assert "Successfully installed package-A-1.0" in result.stdout, str(result)
+    assert "Successfully installed package-a-1.0" in result.stdout, str(result)
 
     result = script.pip("check", expect_error=True)
     expected_lines = ("package-a 1.0 requires dependency-b, which is not installed.",)
diff --git a/tests/functional/test_install_check.py b/tests/functional/test_install_check.py
index 8a8a7c93a80..d16165e03f4 100644
--- a/tests/functional/test_install_check.py
+++ b/tests/functional/test_install_check.py
@@ -28,7 +28,7 @@ def test_check_install_canonicalization(script: PipTestEnvironment) -> None:
 
     # Let's install pkgA without its dependency
     result = script.pip("install", "--no-index", pkga_path, "--no-deps")
-    assert "Successfully installed pkgA-1.0" in result.stdout, str(result)
+    assert "Successfully installed pkga-1.0" in result.stdout, str(result)
 
     # Install the first missing dependency. Only an error for the
     # second dependency should remain.
diff --git a/tests/functional/test_install_reqs.py b/tests/functional/test_install_reqs.py
index 96cff0dc5da..00fe53eddcf 100644
--- a/tests/functional/test_install_reqs.py
+++ b/tests/functional/test_install_reqs.py
@@ -626,7 +626,7 @@ def test_install_distribution_full_union(
     result = script.pip_install_local(
         to_install, f"{to_install}[bar]", f"{to_install}[baz]"
     )
-    assert "Building wheel for LocalExtras" in result.stdout
+    assert "Building wheel for localextras" in result.stdout
     result.did_create(script.site_packages / "simple")
     result.did_create(script.site_packages / "singlemodule.py")