Option to hide all searchboxes on context menu

### Description of the new feature / enhancement

the context menu shouldnt even have a searchbox unless theres too many items

### Scenario when this would be used?

annoying

### Supporting information

very annoying to have a searchbox in context menu,
and it makes the ui looks bad

The issue does not identify a file, test, or entry point. First locate the context-menu implementation and determine how it decides when to show a search box; clarify the intended item-count threshold and affected menus with the maintainers. Done means the search box is absent for smaller menus and remains available when the menu is large enough to need it.

Written by the indexing model from the issue text.