Upon digging, you're correct, though it seems I found more references to 2SV, but point taken.

I am staunchly of the 'don't allow my machines to remember anything' variety, so likely not. If this 'remembering' is flagged in an app default, I'd be happy to clear it out and re-test.

I went to retrieve the 2SA/V code, and when attempting to switch back to the dialog, it failed/crashed to the launcher. The dialog was still present in the application switcher, but repeatedly failed. But directly starting gmail bypassed the auth request and logged me in.