That is just the price for multiclassing it seems (unless your GM decides otherwise).
He might want to consider another archetype. From the looks of it, unarmed fighter does not have many benefits if you are not really into grappling or a variety of other maneuvers (trip, drag, and dirty trick).
If your friend is not into any of these, he might want to consider archetypes like braweler (large and quick bonuses to close weapons such as unarmed strikes, as well as several other monk weapons; can trap opponents with a unique set of maneuvers after level 9), or if it is early enough in his career (and he thinks the campaign will go on long enough) he could go for something such as mobile fighter or dawnflower dervish (both have a method of getting a pseudo pounce at level 11).
Thanks. I'll refer him to the brawler. He wasn't going for a grappler, but rather something that helped an ex-monk until he could get an atonement. This should work just fine.