Congrats on a rare opportunity to de-plane via an IAD people mover — which was the intended original purpose of the people movers. (They were meant to be "mobile lounges" that took you to your aircraft!)
If you didn't miss a connection and didn't lose your baggage, and your arrival to baggage claim was delayed by less than half an hour, you're probably not going to get any compensation from United. You can escalate, but they're probably not gonna budge.
You're probably also not going to get much sympathy from the crowd here — moderately frequent travelers can attest that this is not a big deal. I think most of the folks here will say that while it sounds like UA had some operational problems that slowed down your travel experience, this should not be a big deal. Now, if your seat's recline hadn't worked, that would be a different story…
To be sure, there are circumstances where a one-hour delay from landing to being allowed off the plane can cause discomfort. I remember waiting about an hour from landing in LAX to being at a gate because of gate occupancy and crossing traffic, and *at all times we were on an active taxiway*, which, given that I really, really, really wanted to duck over to the lav, felt like sheer torture!
I hope this is the worst travel experience you have all year. We should all be so lucky