I like them because they go onto the bolt or nut easier, with less effort to align them. I don't see a deficiency in performance compared to 6 point. Mostly, I use the 12 point in preference to 6 point.
Some guys on here claim that every time a 12 point is used instead of a 6 point, a bolt rounds off, but that hasn't been my experience. They will counter that with "you don't work with the salt rust that I do". That's probably true, the North Idaho and South Dakota salt rust I worked with is different than the Minnesota salt rust; that's just basic physics, right? What I will concede is that in cheap tools, the 6 point appear to work better. If you buy HF, Craftsman, or online asian tools, or house brand asian tools, you'll probably be more satisfied with 6 point. If you buy US made Snap-on, Proto, Williams, Wright, SK, or older USA made ones such as Bonney or Indestro, the 12 points will do just as well. I suspect the better imported ones such as Williams Taiwan, Blue-Point, Ko-Ken, Shahwile, Nepros, Wera, etc would do as well but I haven't owned them to know.
I have both 6 and 12 point; ultimately that is the answer. There are times, especially with small bolts, that the 6 point work better. Anything bigger than 10mm or 7/16" so, I just use 12 point because I like them better. The only 6 point I use routinely are my 1/4" drive. Basically, it boils down to preference. If the ease of aligning 12 points isn't important to you, there is no benefit except for 12 point specific fasteners.

12 pt work on square and 12 pt fasteners, but I bet many people have have them as many sets include both.
I have a lot of both to have multiples of many sizes.

I haven't used some of them, so not good data. USA Craftsman, I have used extensively, from the -V- to the G2 and E series. None were very good if considered from a commercial, non-homeowner viewpoint. They were a cost effective, easily accessible homeowner solution. When I replaced them with Proto, my rounded bolt problems went away. Carlyle, I have bought a few when I needed one at odd hours as NAPA is open. I've just bought 6 point as I wasn't real confident in them. The 6 point have worked okay. I've had a few old USA NAPA, they were okay but haven't used them extensively in sockets. I think they were New Britain. I had a few torx and hex from the just prior to Carlyle NAPA taiwan brand, they were okay but not exceptional. I had some older Kobalt, they were Williams USA and were excellent. The newer Taiwan Kobalt ones I have had were mediocre at best. Not even worth using since I had better already. Toptul I have never seen one, so no comment. Taiwan Gearwrench I have had a few examples of their tools, and every one has been disappointing. I don't expect the sockets would be different. I remember getting a set of them in a box I liquidated, but they were laser etched and the etching was wearing off, so I never even tried them. The now obsolete armstrong and mastercraft and such I have seen, but not used. They seemed to be about the same quality as Craftsman.
I don't believe we've ever discussed this topic before; have we?

I don't believe we've ever discussed this topic before; have we?
A Williams USA 8 point socket set is about $30.
All I'll say is many wives tales & myths on this subject are and have been pedalled for ever. The evidence often doesn't support many of the claims about either design. The best tool co's often sell both but probably favour 12pt for general use in their sets. Bonney Ultica??in my opinion really developed the 12pt design years ago and today almost all sockets sold benefit from their work. Its not as simple as many believe, the science behind turning fasteners and where/how forces are put through them is very interesting. I used to think designs like Metrinch were really clever as they put rotational torque on the flats toward the middle of the hex sides. I learned this is not such a good idea although in a damaged fastener situation it works well. Where torque is directed through a fastener head is key to its ability to actually turning a fastener and not split/damage it. Some clever folks posted the finer details of this many years ago, I've never been able to dig it up.
We must be shopping at different places.
I don't believe we've ever discussed this topic before; have we?
The really, really comical part around here is the ************ factor over demanding 6 point sockets when, out of the whole f'n site, maybe half a dozen of us own 6 point combination wrenches.
OH. They aint nothing special..........
Maybe not shopping at different places ................ there is also a Williams 14 pc eight point set that is about $120. So maybe you guys are looking at different sets?
On the 7 pc set .................. amazon is cheaper when you factor the Toolsdelivered shipping. TD quoted me $18.00 for shipping.
Seth

... I used to think designs like Metrinch were really clever as they put rotational torque on the flats toward the middle of the hex sides...
I don't believe we've ever discussed this topic before; have we?
I had 12 point fasteners on a rear yoke for a drive shaft last weekend.
I own 6 pt wrenches; both SO and Proto. I don't like them. I have broken a 6 point wrench, and it was S.O...... They're even harder to position than 6 point sockets.