Why not a 'border pack' which has all the known borders, and maybe some fan made ones that would be accessible to a game via mod, and let you cycle through all of them somehow?
Also looks like you have to stick to the SD2SNES menu provided in the firmware, as others break the new menu options. Shame because I like one of the Stonage Gamer options provided for SD2SNES Pro.
The EDGB was already a boarder pack, just keep your boarder of any game you played and run it with a non enhanced version to keep the pallet colour and the boarder it would provide.
As for the menu issue it wouldn't work on the SD2SNES as it runs from the menu itself and not the SGB screen like how the EDGB would do it, I weeded out the non copied boarders that took quite a few months from that exact link you posted that showed each and every boarder that could be displayed so its worth trying out if you want to use different non enhanced games that don't say (SGB Enhanced) to run with them.
When you play any SGB Enhanced game as pictured here -
https://imgur.com/a/35mOebCIf you leave the device running and go back to the ROOT menu just load another game to get this result pictured here -
https://imgur.com/a/oA4MejO Just note whichever pallet you go with from whatever the pallet the boarder displays inside is the one you will have for your entire gameplay it wont change as it would on the actual game as it's just in it's memory until you press the power button.