I bought all the GBA FF games off eBay and only received counterfeit ones :-/ At least the ones I got don't have batteries in them. Saving makes the games freeze for a small time but other than that they are working.
Completed the FF V GBA counterfeit on a DS lite. Ended up playing through the DS versions of III and IV, also off eBay, which do not seem to be fakes fortunately.
This interview has some details about how it was done on Xbox: https://hanselminutes.com/632/eric-heutchy-on-backward-compatibility-xbox-one-x-enhanced-games-and-the-heutchy-method