If they already have a non-revoked 3rd class from before, though, having used one not on this list may not prevent getting BasicMed. Even if you’re technically eligible for an SI you should just do BasicMed and not risk it if you don’t have to. Disclaimer: not an AME, YMMV.
This is clearly false. The limitations on BasicMed are different from those of a standard medical certificate [0], and have to do with your physician's medical opinion about your ability to operate a plane. There are a few conditions that specifically require a new SI [1] but this is not some pseudo-legal/badfaith game.