Update docs and one more rename

instrumentation/spring/spring-boot-autoconfigure/src/main/java/io/opentelemetry/instrumentation/spring/autoconfigure/internal/instrumentation/webflux/WebClientBeanPostProcessor.java

@@ -66,6 +66,6 @@ private WebClient.Builder wrapBuilder(WebClient.Builder webClientBuilder) {
     SpringWebfluxClientTelemetry instrumentation =
         getWebfluxClientTelemetry(
             openTelemetryProvider.getObject(), configPropertiesProvider.getObject());
-    return webClientBuilder.filters(instrumentation::addTracingFilter);
+    return webClientBuilder.filters(instrumentation::addFilter);
   }
 }

instrumentation/spring/spring-webflux/spring-webflux-5.3/library/README.md

@@ -9,6 +9,7 @@ For this instrumentation, the minimum supported version of Spring Webflux is 5.3
 For Maven, add to your `pom.xml`:
 
 ```xml
+
 <dependencies>
   <dependency>
     <groupId>io.opentelemetry.instrumentation</groupId>
@@ -59,23 +60,24 @@ import io.opentelemetry.instrumentation.spring.webflux.v5_3.SpringWebfluxTelemet
 
 @Configuration
 public class WebClientConfig {
-  private final SpringWebfluxTelemetry webfluxTelemetry;
+  private final SpringWebfluxClientTelemetry webfluxClientTelemetry;
+  private final SpringWebfluxServerTelemetry webfluxServerTelemetry;
 
   public WebClientConfig(OpenTelemetry openTelemetry) {
-    this.webfluxTelemetry = SpringWebfluxTelemetry.builder(openTelemetry).build();
+    this.webfluxClientTelemetry = SpringWebfluxClientTelemetry.builder(openTelemetry).build();
   }
 
   // Adds instrumentation to WebClients
   @Bean
   public WebClient.Builder webClient() {
     WebClient webClient = WebClient.create();
-    return webClient.mutate().filters(webfluxTelemetry::addClientTracingFilter);
+    return webClient.mutate().filters(webfluxClientTelemetry::addFilter);
   }
 
   // Adds instrumentation to Webflux server
   @Bean
   public WebFilter webFilter() {
-    return webfluxTelemetry.createWebFilterAndRegisterReactorHook();
+    return webfluxServerTelemetry.createWebFilterAndRegisterReactorHook();
   }
 }
 ```

instrumentation/spring/spring-webflux/spring-webflux-5.3/library/src/main/java/io/opentelemetry/instrumentation/spring/webflux/v5_3/SpringWebfluxClientTelemetry.java

@@ -43,7 +43,7 @@ public static SpringWebfluxClientTelemetryBuilder builder(OpenTelemetry openTele
     this.propagators = propagators;
   }
 
-  public void addTracingFilter(List<ExchangeFilterFunction> exchangeFilterFunctions) {
+  public void addFilter(List<ExchangeFilterFunction> exchangeFilterFunctions) {
     for (ExchangeFilterFunction filterFunction : exchangeFilterFunctions) {
       if (filterFunction instanceof WebClientTracingFilter) {
         return;

instrumentation/spring/spring-webflux/spring-webflux-5.3/library/src/main/java/io/opentelemetry/instrumentation/spring/webflux/v5_3/SpringWebfluxTelemetry.java

@@ -65,7 +65,7 @@ public static SpringWebfluxTelemetryBuilder builder(OpenTelemetry openTelemetry)
   }
 
   /**
-   * @deprecated Use {@link SpringWebfluxClientTelemetry#addTracingFilter(List)} instead.
+   * @deprecated Use {@link SpringWebfluxClientTelemetry#addFilter(List)} instead.
    */
   @Deprecated
   public void addClientTracingFilter(List<ExchangeFilterFunction> exchangeFilterFunctions) {

instrumentation/spring/spring-webflux/spring-webflux-5.3/library/src/test/java/io/opentelemetry/instrumentation/spring/webflux/v5_3/SpringWebfluxClientInstrumentationTest.java

@@ -28,6 +28,6 @@ protected WebClient.Builder instrument(WebClient.Builder builder) {
             .setCapturedResponseHeaders(
                 Collections.singletonList(AbstractHttpClientTest.TEST_RESPONSE_HEADER))
             .build();
-    return builder.filters(instrumentation::addTracingFilter);
+    return builder.filters(instrumentation::addFilter);
   }
 }