Let me know if you still need a custom decision for the ‘wp-lister’ plugin product search problem when you restrict access to admin menu using “block not selected” model.
It’s possible to provide by adding wp-lister parameters to the list of allowed parameters for this URL admin.php?page=wplister.
Compare, you allowed the at admin menu access to menu item with this URL
admin.php?page=wplister
but when we try to search a product, plugin try to use this URL
admin.php?page=wplister&listing_status&s=some_word&action=-1&profile_id&paged=1&action2=-1
