Data Views: Persistent layout option for templates (and others) in site editor

[bgardner]

Description

I would expect that when I select a specific layout view, that it persists throughout my experience in the site editor. When I select one (table view) for templates and then navigate out of (and back in) to that screen, I'm met with the default grid view.

Step-by-step reproduction instructions

1. Go to site editor > templates
2. Select non-default view such as table
3. Leave template screen, go back in
4. See the view has reverted back to grid

Screenshots, screen recording, code snippet

Screen.Recording.2024-05-16.at.1.59.50.PM.mov

Environment info

WordPress 6.5.3
Gutenberg 18.4.0-rc.1

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

Yes

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

Yes