Navigation editor: Menu switcher doesn't show after deleting a menu

[talldan]

Description

The change implemented in #29201 seems to have regressed.

Step-by-step reproduction instructions

1. Visit the navigation editor
2. Make sure you have at least three menus, if not create some menus
3. Delete one

Expected: the menu switcher is shown
Actual: another menu is shown

Pre-checks

• I have searched the existing issues.
• I have tested with all plugins deactivated except Gutenberg.

[Mamaduka]

Thanks for catching this, @talldan.

I might have introduced this regression with #31320. I will have a look at a possible fix tomorrow.

[javierarce]

👋 Is this issue still relevant?

[Thelmachido]

Closing this issue due to the project being moved to an inactive status on the feature projects page in coordination with the project leads.

If this work is picked back up, issues can be revisited and reopened as needed. Thanks for testing this early feature and giving feedback so the wider WordPress project could benefit from the lessons learned!