He might or might not be able to "compete" (whatever that means). If his handicap is based mostly (or entirely) from his home course and the other guys have handicaps compiled from multiple courses in tournaments they could easily be better than he is.
Then again maybe they are not better than he is at all but it just seemed that way because the high finishers had a good day (as high finishers always do). Maybe next tournament it will be his turn to light it up and the other guys will think they couldn't compete with him.
** The translation of "seems" in my case is "I'm talking out of my ass." I have no idea, just guessing. ;)
My definition of "seems" is like yours.
Seems like no matter what course you play, to expect 2-3 birdies and par everything else per round is really good. I just don't see that person having trouble on any course.