Any insight into what typically happens from a pax perspective on these diversions? How long does it take to get back in the air and to your final destination? Is it typically possible to just get out at the diversion point and find your own way home?
A lot will depend on why you had to circle in the first place. Odds are, now that you are landed you are going to be held by ATC from taking off until things have cleared up a bit. We all know that can be a while... Just the land, taxi to get fuel, and take off again (no going to a gate) isn't a huge thing - if staff is available, and depending if de-icing is needed.
Regarding getting out at the diversion point. I've been on a Europe to EWR that diverted to Montreal, and it was made pretty clear that no one was getting off (despite the 6 hour wait).
I've been diverted on an RJ from CLE to Cincinnati and they did actually let someone off, but it definitely took some persuading by the Pilot, and could only be done because they had enough time and available ground crew to come over and get them. I don't remember if they got their luggage or not, though (if they had any). They would not want to risk losing a takeoff slot if they thought there was even a slight chance of getting it anytime soon, though.