I was the one escorted at 6am this morning and the only reason was simply bad time management skills (and a very unlucky Monday morning).
I scanned my BP literally 30 seconds before the offloading rule and I was about to get in line when the agent got back to me very worried as my flight was already boarding from the B gates and insisted in escorting me to the front of the line as I would have missed my flight otherwise. I was sincerely very embarrassed but I appreciated the gesture as the line was of at least 20 people as the Op mentioned.
I boarded on the final call and that little "push" probably saved me.
I'm pretty sure this kind of treatment could be enlisted as a reason why - almost - everyone here loves to fly BA.
I really apologise if that annoyed someone!!