...for at least the first couple of times! If so, his 'condition won't make any difference if he does stand up.
As shown during the previous week's strips, Doc's attention was on Cara during the movie; mainly to ensure she enjoyed it (which I believe she did immensely) and her very intimate physical contact. I'd be willing to wager that be was thinking more about what was going to happen after the movie (and her semi-nude stretch in today's strip sure got his thoughts going in that direction!)
So, his 'physical condition as to whether or not standing up would be "embarrassing", is somewhat moot at this point. I doubt either of them will care if his "Gallant Reflex" is present as their thoughts will be elsewhere.