It does make sense, it made sense since the beginning
How does this interact with characters that start at level higher than 1?
For example can a fighter human starting at level 6 use his 70 feat points at level 6? That would make him meet more prerequisites of said feats.
Additionally what do you really intend to do with this system, I mean, each time the character get feats they get 10 feat points, but most of the feats that you propose cost less than 10 feat points, the fighter already has a lot of feats (he can have more this way, he probably doesn't see a lot of benefit) but spellcasters can get metamagic for less than a feat this way. It seems that the spellcasters get more goodies out of this than the mundane.