When customising a template from a plugin pressing the browser back button does not update the template list

[opr]

Description

If you customise a template in the Site Editor, then press the browser back button, attempting to edit the same item again (without refreshing the template page) theYou attempted to edit an item that doesn't exist. Perhaps it was deleted? error shows up.

Step-by-step reproduction instructions

1. Install WooCommerce Blocks (or any other extension that adds templates to Gutenberg).
2. Go to the site editor templates list.
3. Find a template from a plugin that has not been customised.
4. Customise it and press save.
5. Use the browser back button to return to the template list.
6. Try to edit the same template again.
7. See the error

Screenshots, screen recording, code snippet

https://www.loom.com/share/787ffc07d7594d5798d84f1f83bab848

Environment info

Gutenberg 12.1.0 and WooCommerce blocks trunk.

Please confirm that you have searched existing issues in the repo.

Yes

Please confirm that you have tested with all plugins deactivated except Gutenberg.

No

[Mamaduka]

Since RC was already released, I'm removing this issue from WP 5.9 board.

Custom template support in plugins isn't well tested or documented feature.

Let's try to fix this for the next release.