H might've worn a jockstrap that day, but he's clearly had played commando, often. Pictures in this thread alone are proof of that.
Besides, I'm 99% sure that the pics shown are NOT a jockstrap.
Everyone knows the kind of shorts. At the top there is just an extra band of fabric sewn into them. It's not a jockstrap band.
Another recent pic to prove his commando ways. You can even see a head (might have to turn your screen a bit)