Won't it, Senpai? Do we actually know this, or are we just assuming that women won't go to car workshops, and men won't want the basics. All gets a bit chicken and egg.
I can't speak for every man or woman on the planet. Everyone is unique, but humans all follow general trends.
Generally speaking, things that are marketed towards men or women are done so because they are the largest buying demographic and companies want to keep that and get more from that demographic.
It's why baby products and scented candles are marketed towards women. They're just more likely to buy it anyway, and by marketing towards them you really capitalize on that demographic by making an appealing product to them even more appealing. Men who naturally like scented candles will buy them anyway, but if you marketed towards men or gender neutral you'd doing yourself a disservice by not acknowledging your biggest buying market and therefore dropping potential revenue. They've done man candles, and they smelled terrible. No man or woman wanted them.
So if a car class will appeal more to women than men, then it makes sense to market to them and capitalize on that group to get the most money. Yes some men might like the class, but not enough to justify the money spent paying for the instructor and advertising space.