Yeah, I wear both Adidas and Puma athletic boxer briefs and have no issues, with a slight preference towards the Puma's but not enough to seek them out specifically. Whichever brand Costco happens to be carrying at the time I need some new underwear. I get like 4 or 5 pairs for the price of one of those fancy brands.
Also, I don't know how you can stand wearing cotton underwear, just gets soggy. If your athletic ones aren't wicking away properly it's probably a fit issue. No reason for your underwear to work any differently than a t-shirt when it comes to wicking.