I have the Wintec waffle pattern neoprene. No sores, rubs or cinch issues at all with it, even working for a few hours on the trail in South TX heat and humidity. My guy doesn't seem to have overly sensitive skin though, so I expect he would be fine with any good quality girth. That's what I think is the important point: don't cheap out. No matter which type you go with, make sure you get a good quality one. Poor quality anything will cause problems in the long run.
The classic equine which we use do have a roller but they aren't that bad. I had huge issues with the weaver girths with rollers because you can cinch your horse up way too tight but the classic equine only has one roller that helps some but you still have to do the work to cinch your horse up and the roller is much smaller it doesn't hang outside your tie strap and pinch Posted via Mobile Device
I've had my Air Flex for about two months now, and it is pretty good. It isn't the absolute best girth, but it is better than a lot I have tried.
My horse sweats A LOT, and when I would untack him, even after a short ride at a walk, he would be soaked under the cinch. Now that I have switched to an Air Flex when I untack him, he is only slightly damp (what it should be like, not soaked) even after a longer ride with lots and lots of trotting.
I would recommend the Air Flex, but I really haven't used mohair so I can't add to that. It is pretty reasonably priced (cheaper than nice mohair, which is why I bought it as my parents made me pay for it) and I would say worth the money. Haven't had any problems, no rubbing or irritation. I am only a "casual ride", not much longer than an hour or two 3-6 times a week and no showing/working so I don't know if that plays a role either.