The Royal Society for the Prevention of Accidents Cycling Accidents Fact Sheet is one of the most comprehensive studies I have seen recently. There is literally no mention of accidents caused by drivers unable to see cyclists at night because their lights are too dim.

Here's another one from the Centre for Transport Studies, University College London from a few years ago. Statistics for light usage is cited on p. 27, but again, failure to see the cyclist because the lights were too dim is not listed as a cause of any of the accidents reported in the study.

I think this one from The University of Bath and Brunel University on The influence of a bicycle commuter's appearance on drivers’ overtaking proximities from 2013 is the most interesting of all. To quote the lead researcher " “Many people have theories to say that cyclists can make themselves safer if they wear this or that. Our study suggests that, no matter what you wear, it will do nothing to prevent a small minority of people from getting dangerously close when they overtake you."

There are lots of others, and I have never seen one suggest that excessively bright and/or blinking lights would do anything to prevent accidents between bicycles and cars.