Accessibility keys (Tab, Button 4, Button 5) cannot be used to close containers

You can close most inventories with Tab, but cannot close the Search page in the Creative inventory using Tab.
And you can close any container with Button4 or Button5.

Steps to reproduce for each of [Button5 (browser forward), Button4 (browser backward), Tab]

1. Set inventory keybind to the chosen accessibility button [Button]

2. Open a container (chest, the inventory, etc) with [Button]

3. if Tab was chosen:

   1. You can close most inventories, but you cannot close the creative search inventory using Tab

   2. ie pressing Tab in this inventory doesn’t do anything, not even any “accessibility function”

   3. Expected functionality: pressing Tab should close the container

4. if Button5 or Button4 was chosen

   1. You cannot close any container with [Button]

   2. ie pressing [Button] in this inventory doesn’t do anything, not even any “accessibility function”

   3. Expected functionality: pressing [Button] should close the container

The bug previously was noticed in 1.14 with closing the inventory with Tab. This was fixed in 1.16.2, but remains unfixed in the Search page in the Creative inventory [MC-150662] Unable to close inventory using tab. - Mojang Studios Jira