It’s kind of a silly argument, remaster vs remake. Not really sure why anybody would care to argue it really. It can really mean anything as anytime you alter something in a game you are technically “remaking” it.
Myself, I tend to think of games that are just getting ported over at higher resolutions or frame rates as remasters, anything that has made actual changes as remakes. That being said, if somebody called something a remaster that I considered a remake, I certainly wouldn’t argue with them. It’s basically saying the same thing. Some people just wanna argue though I guess...