Would it matter if they did? You're already on the priority list based on your elite level, and you benefits are already baked into your PNR. When you need to see them about something at the counter and show them your mobile BP, they know your elite level when they pull up your rez on the screen.

Otherwise, they don't even look at your mobile boarding pass. You have to place it face down on the reader and then go on your merry way.