The UI needs persistent pointers to catalog paths that it can pass
around via context. It was trying to manage this in own storage, but
this didn't work. Not entirely sure why - the menus get redrawn
continuously while assets load, and the root menu rebuilds the mentioned
storage every time. Maybe the submenus redraw a bit later, or the
keyboard navigation handling still accessed data from a previous redraw
somehow.
Either way, instead of managing own catalog path storage, point into the
asset system, which already has persistent storage for the catalog
paths.
Pull Request: https://projects.blender.org/blender/blender/pulls/106237
7d0251ed9a