I wouldn't chance it. Stick an "audio may be recorded for performance evaluation purposes" on the drive thru kiosk and call it a day. Otherwise you're inviting litigation when something like this happens.
You can want things to be black and white but litigators are going to argue.
Drive thru conversations are not private under the Katz test, so there is no reasonable expectation of privacy. That makes video or audio recording in that setting lawful.
Katz came about because the FBI recorded a gambler outside the booth with the doors closed. Hence we have the Katz test.
Heck, you can even record someone making a drive thru order yourself and no one can do anything about it
Not a red herring. The Katz test defines when a conversation is private, and a drive thru order does not meet that standard, so recording there is lawful even when it is done by a private person and not by law enforcement.