I don’t think so.
Insurance stats and rates prove it.
He said better, not safer.
Women have more accidents, men have more fatal accidents. When women have accidents they tend to be of the fender bender class. When someone plows into a toll plaza killing a family of six, it tends to be a male.
Men, especially men under 25, have much worse claims records.
Men drive 60% more miles per year.
http://www.freeby50.com/2012/09/average-miles-driven-annually-by-age.html?m=1
Women have more car accidents, but the damage is less. Men, especially young men, have catastrophic accidents.
Insurance rates measure safety and risk, not skill.
“Better” is a subjective judgment, and based on whatever criteria is used, may or may not have anything to do safety or minimizing risk while driving. For example, some of the “best” drivers are found at NASCAR races.
That’s due to under-25 males, raging hormones lead to too-aggressive driving. That pretty much disappears entirely after age 25. Factor them out and the picture is entirely different.
The under-25, female driver discount is an anachronism in this day of texting-and-driving. Young ladies are the worst offenders.