Offhand that sounds really cursed: Signing the "same" thing multiple times with the same key shared among multiple devices and also expecting the signatures to be identical. I honestly can't think of anything that would require something like this and it sounds like a really bad idea as well.

Just to clarify something I've seen a few siblings confused about: Saying your signature scheme should not rely on canonical representations doesn't mean you shouldn't parse the input properly before processing it (e.g. checking that the input corresponds to a schema). It just means those two things are separate things best done separately. It's a little like NATting and firewalling: often confused with each other, or people arguing one acts like the other, but they're really separate things, and everything is much easier once you understand and heed that.