Yep. Ask anyone that works on old cars with rusty bolts. When I bought my first set of Craftsman 12 pts. I learned quickly that old rusty bolts on Ford body panels and 12 pts do not get along with each other. When I first stepped foot onto a Snap On truck, my first purchase was the 6 point socket sets. It's all I ever use now due to habit.
Substitute "Ford" for "MoPar" or "Studebaker" and I'm right there with ya.
However for someone starting out I would today recommend buying a 12 point mechanic's set (what? did I just contradict myself?) and a set of 1/2" drive impacts in shallow and deep. why? because there's only a very few limited applications in which you need a 6 point hand socket that a 6 point impact won't also work, and you're going to want the impacts later on when you get an air gun and compressor anyway. That way you have a set of both 6 point and 12 point sockets at your disposal for minimum cash outlay.
It took me 20 years to get around to buying air tools though... on the upside I'm in good shape
Also, the 6 points seem to make more of a difference in the smaller head sizes, once you get above a certain point (19mm / 3/4" ish?) it really doesn't seem to matter at all; if a 12 point rounds the fastener at that size so will the 6 point probably. Likely why you see very few 6 point sockets/wrenches in the larger sizes.