I'm a little surprised so many people gathered and stayed watching for all that time, in the heart of Manhattan. What I would worry, if I had such an accident, is that no one would care--everyone busy for their business--and the car drives away leaving me behind as if nothing happened, with no witness or evidence.
(I chuckled at seeing the beloved Citi bike squeezing through at 3:29

)
P.S. It seems to me the two taxi passengers could be tourists. Everyday New Yorkers are not so likely to apologize in such polite manner.
What do you know of New Yorkers? I grew up here, and I live here, and I encounter countless nice, caring people all the time.
Traffic is insane, though. It's funny when people who haven't been here are aghast that there are jaywalkers and learn that cyclists run red lights. It's the wild, wild east here. There's very little respect for the law. You have to see our actions in that context.
It annoyed me that the taxi passenger said she didn't see the cyclist. I bet I know why she didn't see him. She didn't look down the bike lane.