That sleepyness is a factor in car crashes can also be observed with increased rates shortly after winter/summer time changes.
[1] https://injuryfacts.nsc.org/motor-vehicle/overview/crashes-b...
During low traffic, there may be one vehicle to keep track of, and few pedestrians or other bikes.
That safe environment is quickly turned into an enabler for more aggressive and careless riding though. For fun and for getting from A to B faster.
It might be more interesting to look at bicycle fatalities than fatal car crashes [1]. Looking at the time-of-day distribution, fully 50% of such fatalities happen between 3pm-midnight. 6-9am is a higher risk slot (12%), but I'd probably avoid biking during 8-9am regardless.
[1] https://www.iihs.org/topics/fatality-statistics/detail/bicyc...