Rerunning load function, `searchParams` using `getRequestEvent`

Describe the bug

I'm not sure if this is expected, but when using the event directly from the load function it works as expected; when the url (searchParams) changes, the load function reruns. But when using the event from getRequestEvent, the load function does not.

Reproduction

StackBlitz

// routes/+page.server.js
import { getRequestEvent } from '$app/server';

export const load = async (event) => {
  const requestEvent = getRequestEvent();

  return {
    event: event.url.searchParams.get('event') ?? '1',
    requestEvent: requestEvent.url.searchParams.get('requestEvent') ?? '1',
  };
};

<!-- routes/+page.svelte -->
<script>
	let { data } = $props();

	let event = $state(1);

	let requestEvent = $state(1);
</script>

<h1>
	event={data.event} 
	<a href="?event={event}" onclick={() => event++}>[set value]</a>
	current={event}
</h1>

<h1>
	requestEvent={data.requestEvent}
	<a href="?requestEvent={requestEvent}" onclick={() => requestEvent++}>[new value]</a>
	current={requestEvent}
</h1>

Logs

System Info

(StackBlitz)

System:
    OS: Linux 5.0 undefined
    CPU: (8) x64 Intel(R) Core(TM) i9-9880H CPU @ 2.30GHz
    Memory: 0 Bytes / 0 Bytes
    Shell: 1.0 - /bin/jsh
  Binaries:
    Node: 20.19.1 - /usr/local/bin/node
    Yarn: 1.22.19 - /usr/local/bin/yarn
    npm: 10.8.2 - /usr/local/bin/npm
    pnpm: 8.15.6 - /usr/local/bin/pnpm
  npmPackages:
    @sveltejs/adapter-auto: ^6.0.1 => 6.0.1 
    @sveltejs/kit: ^2.26.1 => 2.26.1 
    @sveltejs/vite-plugin-svelte: ^6.1.0 => 6.1.0 
    svelte: ^5.37.1 => 5.37.1 
    vite: ^7.0.6 => 7.0.6

Severity

annoyance

Additional Information

No response

Start with the linked StackBlitz reproduction, then inspect routes/+page.server.js and routes/+page.svelte to compare the load dependencies observed through event.url.searchParams and getRequestEvent(). Change each query parameter and verify whether the load data updates consistently; done means the intended rerun behavior is covered by a regression test.