Well, it would not at all be private since notes are public. People would be able to see metadata like you used Uber at 5.27 p.m. But they wouldn't associate a name with it unless of course you doxxed yourself which would be all to easy to do.
Discussion
Change to yer pgp public key fingerprint instead, and the public will be *verifiably* public and the private 100% private unless you are a dumbass that generates a < 4096 bit key.