I would strongly recommend against it. If Bitcoin were to deploy a new signature system we'd likely prefer schnorr signatures to pick up efficient multisignature; there are other approaches which much more size reduction (E.g. BLS pairing signatures are half the size); and there are other considerations.
I always think bitcoin should support more signature systems and hash algorithms, with different key size. Low value outputs could be protected by a single small key, while high value outputs for long-term storage could be protected by multisig with different signature systems.