Docs: Clarify useSearchParams behavior

docs/02-app/01-building-your-application/03-rendering/01-server-components.mdx

@@ -104,9 +104,6 @@ As a developer, you do not need to choose between static and dynamic rendering a
 Dynamic functions rely on information that can only be known at request time such as a user's cookies, current requests headers, or the URL's search params. In Next.js, these dynamic functions are:
 
 - **[`cookies()`](/docs/app/api-reference/functions/cookies) and [`headers()`](/docs/app/api-reference/functions/headers)**: Using these in a Server Component will opt the whole route into dynamic rendering at request time.
-- **[`useSearchParams()`](/docs/app/api-reference/functions/use-search-params)**:
-  - In Client Components, it'll skip static rendering and instead render all Client Components up to the nearest parent Suspense boundary on the client.
-  - We recommend wrapping the Client Component that uses `useSearchParams()` in a `<Suspense/>` boundary. This will allow any Client Components above it to be statically rendered. [Example](/docs/app/api-reference/functions/use-search-params#static-rendering).
 - **[`searchParams`](/docs/app/api-reference/file-conventions/page#searchparams-optional)**: Using the [Pages](/docs/app/api-reference/file-conventions/page) prop will opt the page into dynamic rendering at request time.
 
 Using any of these functions will opt the whole route into dynamic rendering at request time.

docs/02-app/01-building-your-application/04-caching/index.mdx

@@ -414,7 +414,7 @@ The following table provides an overview of how different Next.js APIs affect ca
 | [`const revalidate`](#segment-config-options)                           |                            | Revalidate or Opt out | Revalidate or Opt out |             |
 | [`const dynamic`](#segment-config-options)                              |                            | Cache or Opt out      | Cache or Opt out      |             |
 | [`cookies`](#cookies)                                                   | Revalidate (Server Action) | Opt out               |                       |             |
-| [`headers`, `useSearchParams`, `searchParams`](#dynamic-functions)      |                            | Opt out               |                       |             |
+| [`headers`, `searchParams`](#dynamic-functions)                         |                            | Opt out               |                       |             |
 | [`generateStaticParams`](#generatestaticparams)                         |                            | Cache                 |                       |             |
 | [`React.cache`](#react-cache-function)                                  |                            |                       |                       | Cache       |
 | [`unstable_cache`](/docs/app/api-reference/functions/unstable_cache)    |                            |                       |                       |             |
@@ -525,7 +525,7 @@ See the [`revalidatePath` API reference](/docs/app/api-reference/functions/reval
 
 ### Dynamic Functions
 
-`cookies`, `headers`, `useSearchParams`, and `searchParams` are all dynamic functions that depend on runtime incoming request information. Using them will opt a route out of the Full Route Cache, in other words, the route will be dynamically rendered.
+Dynamic functions like `cookies` and `headers`, and the `searchParams` prop in Layouts and Pages depend on runtime incoming request information. Using them will opt a route out of the Full Route Cache, in other words, the route will be dynamically rendered.
 
 #### `cookies`
 

docs/02-app/02-api-reference/04-functions/use-search-params.mdx

@@ -74,15 +74,15 @@ const searchParams = useSearchParams()
 > - `useSearchParams` is a [Client Component](/docs/app/building-your-application/rendering/client-components) hook and is **not supported** in [Server Components](/docs/app/building-your-application/rendering/server-components) to prevent stale values during [partial rendering](/docs/app/building-your-application/routing/linking-and-navigating#3-partial-rendering).
 > - If an application includes the `/pages` directory, `useSearchParams` will return `ReadonlyURLSearchParams | null`. The `null` value is for compatibility during migration since search params cannot be known during pre-rendering of a page that doesn't use `getServerSideProps`
 
-## Behavior
-
 ### Static Rendering
 
-If a route is [statically rendered](/docs/app/building-your-application/rendering/server-components#static-rendering-default), calling `useSearchParams()` will cause the tree up to the closest [`Suspense` boundary](/docs/app/building-your-application/routing/loading-ui-and-streaming#example) to be client-side rendered.
+If a route is [statically rendered](/docs/app/building-your-application/rendering/server-components#static-rendering-default), calling `useSearchParams` will cause the Client Component tree up to the closest [`Suspense` boundary](/docs/app/building-your-application/routing/loading-ui-and-streaming#example) to be client-side rendered.
 
-This allows a part of the page to be statically rendered while the dynamic part that uses `searchParams` is client-side rendered.
+This allows a part of the route to be statically rendered while the dynamic part that uses `useSearchParams` is client-side rendered.
 
-You can reduce the portion of the route that is client-side rendered by wrapping the component that uses `useSearchParams` in a `Suspense` boundary. For example:
+We recommend wrapping the Client Component that uses `useSearchParams` in a `<Suspense/>` boundary. This will allow any Client Components above it to be statically rendered and sent as part of initial HTML. [Example](/docs/app/api-reference/functions/use-search-params#static-rendering).
+
+For example:
 
 ```tsx filename="app/dashboard/search-bar.tsx" switcher
 'use client'
@@ -170,12 +170,12 @@ export default function Page() {
 }
 ```
 
+## Behavior
+
 ### Dynamic Rendering
 
 If a route is [dynamically rendered](/docs/app/building-your-application/rendering/server-components#dynamic-rendering), `useSearchParams` will be available on the server during the initial server render of the Client Component.
 
-> **Good to know**: Setting the [`dynamic` route segment config option](/docs/app/api-reference/file-conventions/route-segment-config#dynamic) to `force-dynamic` can be used to force dynamic rendering.
-
 For example:
 
 ```tsx filename="app/dashboard/search-bar.tsx" switcher
@@ -248,6 +248,8 @@ export default function Page() {
 }
 ```
 
+> **Good to know**: Setting the [`dynamic` route segment config option](/docs/app/api-reference/file-conventions/route-segment-config#dynamic) to `force-dynamic` can be used to force dynamic rendering.
+
 ### Server Components
 
 #### Pages