Given the regular confusion users have when the system is in DAW mode (deliberately or otherwise) and they cannot control Windows (this issue has included me), I suggest a better alert should be provided, maybe something like this:

I wonder if there are any takers for an alert that actually gets the user's attention to remind them of the DAW status?

+1 for this suggestion or for any suggestion that will indicate that BiaB is in DAW mode. I have been caught in that trap a couple of times myself