This is kinda what 'masked email' services like Fastmail's – of which I am a delighted customer – do.
Until you've known the comfort of creating an address; giving it to a service; deciding that you want to end your relationship with them; just deleting that address, without changing your mailbox or infrastructure or archives or anything else … it's kinda life changing. I recommend everyone try it.
Also, the chances of a phisher trying to get my BigBank details by sending mail to lonely.chicken6382@spuriously-named-and-unused-other-than-for-email-domain.com are … well, it seems unlikely.
I've never felt more secure. For real.