C'mon TG you know better than that.
First, you're assuming that your password wasn't keylogged on the device, or transmitted in cleartext (hopefully over TLS but maybe not), or stored as a weak hash, or stored at cleartext. Not necessarily good assumptions.
Given a hash, all that's necessary is to come up with a password that produces the same hash. Doesn't have to be your password, as long as it produces the target hash. Some outfits are still using weak hashes, like crypt3, that only take minutes to break with any reasonable computer.
I'm not saying you're 100% wrong, of course. What you say is mostly true. But it's based on potentially poor assumptions.
Aside from that the services will most likely store a portable password you provide as part of their service to be used automatically when it is required. Password management will be part of the AI service it’s self.
Just like Amazon keeps your Credit Card number on file for future orders...