Since Drupal 10.4, we saw that the button edit icon (in top right) that allow to toggle others edit button in the page, is displayed correctly during the first browser request, then it was hidden during other page refresh
Install drupal 10.4.8
Admin toolbar 3.x
first display: https://ibb.co/Hfxz4nwf
second display: https://ibb.co/fdwqj4v0
If I removed session storage of my user, the button is back for the new browser request and was hidden after.
I think there is a problem in session storage, introducing during the core version 10.4.x, I tested :
10.3.13 -> Ok
10.4.0 -> Nok
10.4.8 -> Nok
Disable cache didn't fix the problem, only remove session storage.
Active
3.6
Code
In my case, on the page /admin/content, I if remove the key session storage:
Drupal.contextual.entity.view.edit_form:view=content:location=page&name=content&display_id=page_1&langcode=fr
fix the problem for the next reload and after the problem come back