You do know that Orion fights as an unthinking brute in 99% of his fights, right? In all the comics I've ever read, that's all he does is charge into a situation and brawls, never thinking. That's why Cap wins this because he'd outthink Orion and since Marvel is physically equal with Superman, Orion loses this.
Now, admittedly, I'm going off of Post Crisis, not necessarily New 52 and after, in which case I could be wrong.
In general, he fought like an unthinking brute in most of his JLA run (when he and Barda joined), though not holding back, rage Orion was the one that had to go against Mageddon until Superman could absorb the energy...BUT, that is only a portion of his showings, which admittedly are a mixed bag, though when his rage is not out of control, which I would argue is more than half the time, he's shown himself as a good strategic thinker.