Describe the solution you'd like
The Select All button seems redundant: its purpose is only to select all and then press Remove. There is no other reason to select all items in the wishlist.
It'd be best suited to reorder these buttons to Remove and then a Clear All button, like is the convention elsewhere in the software. Obviously, the button should clear all and not select all now.
The Select All > Remove sequence may have been a shortcut to not implement Apply, Cancel, OK, as these would likely need to be present to make Clear All > Cancel a way to undo accidental clear-alls.
Additional context
An Add button isn't needed, as there is no need for a popup yet. This may change if wishlists network searches ever become more advanced, such as supporting predefined values for the result filter.