This is what I do not get. Just give them some un-skilled people as placeholders, so there social anxiety doesn't fire. Sit the janitors into the open office or the team building guys.
I think it would be a great business opportunity to offer paid actors who would go into a business, walk around, maybe give a few of them clipboards, have them have water cooler conversations, maybe write some technical looking stuff on whiteboards, and generally move around looking busy.
This would simulate the thrill and "buzz" of managing a busy office for these executives to cosplay without having to drag unwilling employees back.