Presence Status Reverts After Page Refresh Despite Correct Toggle State

Nobody has claimed this yet.

We have found out that there is clear inconsistency in user presence status occurs after a page refresh.

Steps to Reproduce:
1. Set the presence status to "Online".
2. Refresh the page.
3. Observe that the displayed status is "Online" but matrix reverts in status_presence to the previous state"Offline", even though the UI toggle retains the newly set status "Online".
4. Refreshing the page without any status change would keep it correct to "Online".
5. Change the status to "Offline".
6. Refresh the page.
7. Presence status will be shown "Offline" but matrix status_presence returns "Online".

Expected Behavior:
Presence status should persist and reflect the user’s last-set value after a page refresh

Observed Behavior:
After refresh, the UI toggle shows the correct status (e.g., "Busy"), but the actual presence data reverts to the prior state. This suggests a synchronization failure between the client’s cached state and the server’s response post-refresh.

Might be Related Issue:
This may connect to [matrix-js-sdk#2535](https://github.com/matrix-org/matrix-js-sdk/issues/2535), which highlights unreliable event triggering for user presence updates. The problem could stem from missing or delayed `User.presence` event emissions after rehydration.

Tested Environments:
- Google Chrome, Microsoft Edge, Safari
- Multiple homeservers and clients
- We use matrix-js-sdk v37.2.0 at the moment

Start by reproducing the refresh sequence described in the issue with matrix-js-sdk v37.2.0, then inspect presence rehydration and the User.presence event emissions mentioned as a possible cause. Done means the server-side status_presence and displayed presence remain equal to the user’s last-set value after refresh.

Written by the indexing model from the issue text.