Asymmetric cryptography solves problems of statelessness: i.e. encrypt your sensitive|read-only data with your public key, decrypt it with your private key, beep boop, you can now use your client as a database. JWTs are a whole other unnecessary lasagne of complexity – not good complexity but random complexity, like the human appendix – which invites bugs and adds nothing above the former in most implementations. (Hell, my current company generates JWTs and then uses them as plain old 'random' keys to look up the session data in a database. It's hilarious but also awful.)