MoMS Monk and Weapon Mastery Feats

So, as I have recently learned, the Weapon Mastery feats "are embodied by style feats, following the usual rules for such feats"

Does this mean that, at level, a MoMS Monk could have both Cut from the Air and Smash from the Air? It seems by the book, just an oversight, from what I can find at least. Any reason why this wouldn't work?