Anecdotally, where I live in Seattle, the people who are still driving are driving like maniacs...speeding, ignoring stop signs, lights, etc. There may be more room for cyclists, but it doesn't really feel safer.
This is likely similar everywhere. Traffic controls idiots speeding. For another anecdote, check out these statistics from Toronto [1], approx 460% year-over-year increase in stunting charges ("stunting" being the charge when someone is going more than 50km/hr over the speed limit.) One person recently was going 270km/hr in a 100km/hr zone (cops caught them because a tire blew).
[1] "Between March 16 and April 22, police have issued 6,978 speeding tickets and 224 stunt driving charges. In the same period last year, police issued 5,504 speeding tickets and 40 stunt driving charges." https://www.toronto.com/news-story/9960534-toronto-police-ch...