Statistics are not a good indicator either because most events never get recorded. Nobody keeps statistics on how often cyclists whiz within inches of pedestrians on the sidewalk, scrape by people, or knock people over but they get right back up again with a few bruises. It doesn't get recorded unless the police get involved or somebody goes to the hospital, both of which are pretty rare. Believing you understand what's going on just by looking at statistics is terribly naive.
The stats dont record whose at fault in NYC, nor do they record when car drivers and pedestrians have to avoid dangerous situations caused by bikers and people on scooters.
Sorry but the stats just don't bear this out.
I've lived in dense cities my entire life. Stories, anecdotes, etc. do not reflect the reality of what is more likely to cause you harm.