No, that's the last queried answer. There is no ai in the glasses without a connection, so all it (edit1:it here being the program being run on the glasses, client to the ai between other things)can do (seemingly) is loop around and re-read the last queried answer, which was the mistaken "you've already...".

In the glasses is just a client to the ai. Like there is no ai in your phone when you talk to chatgpt, you are querying it and it will not keep talking to you if you cut off the wifi

The prerecorded responses I speculated about would have been things like "i'm having some connectivity problems, I'm unable to chat at this time, I'll let you know when I'm back." - the same kind of prerecorded things your earbuds tell you when they're low on power.

This can't possibly be the case, because the AI voice says slightly different things between the two attempts. The first time it says "you've already combined the base ingredients, so now grate a carrot to add to the sauce"; while the second time it says "you've already combined the base ingredients, so now grate the carrot* and gently combine it with the base sauce".

Unless you think they've added some inference logic on the device to slightly re-state the last answer they got from the cloud, it's clear that the glasses were connected and receiving the same useless answer from the cloud.

* side note, but it can also sound like "pear" to me this second time

If you believe that they made the glasses repeat the last answer when they don't have connectivity, instead of saying "I don't have connectivity", I don't know what to tell you.

I own a pair of Meta glasses, and the response when they don't have connectivity is "this function is not available at this time".