[2.61.0] Stale/cached version of remote function data on page change

Describe the bug

Starting from 2.61.0 remote functions don't always re-run on page change which results in stale/cached data.

In reproduction repo there is cars page with a single remote function. When page is changed, sometimes this remote function re-runs, sometimes it doesn't.

Quick video:

https://github.com/user-attachments/assets/3b2955c7-f6b3-44b2-a7f6-931a27c634af

This behavior is inconsistent, sometimes it doesn't re-fetch data, sometimes it does (at 29s of video)

Reproduction

https://github.com/vladshcherbin/svelte-kit-rf-bugs

Logs

System Info

System:
  OS: macOS 15.7.5
Binaries:
  Node: 26.1.0 - /Users/shcherbin/.local/state/fnm_multishells/66645_1780089091564/bin/node
  pnpm: 11.3.0 - /Users/shcherbin/.local/state/fnm_multishells/66645_1780089091564/bin/pnpm
Browsers:
  Chrome: 148.0.7778.179
npmPackages:
  @sveltejs/adapter-node: ^5.5.4 => 5.5.4
  @sveltejs/kit: ^2.61.1 => 2.61.1
  svelte: ^5.55.10 => 5.55.10
  vite: ^8.0.14 => 8.0.14

Severity

blocking an upgrade

Additional Information

No response

Reproduce the issue with the linked repository, starting at src/routes/cars/+page.svelte and its single remote function. Change pages repeatedly and compare when the function runs and whether its data is refreshed; done means page changes consistently produce current, non-stale data.