Well, if you wear a pair of pants or shorts too tight or don't really fit you, then boxer shorts can ride up when you put them on and give the pants a rough texture. However, the traditional woven kinds can ride up, but the knit kinds usually don't. When it comes to athletics or wearing clothes that may be tight on the waist, many recommend tight ones like briefs or the more modest boxer briefs, yet tight underwear can in fact cause a jock itch and that there is no air to breathe.
For me personally, I'm sticking to boxer shorts and tight ones make me feel like my skin is burning. Some people have sensitive skin where they must wear the loose stuff. If my underwear rides up, I have to deal with it, but it's way more comfortable than getting a jock itch.