I should have said that the rules for each don't interact at all; rapier and whip are medium weapons that, when properly sized for a creature, just happen to be eligible for the weapon finesse feat. Feycraft weapons are considered to be one size lighter than they would otherwise, and if already considered light (being light qualifies as considered light, but considered light doesn't qualify as is light, except for whatever it's considered light for (Weap. Fin.)) they may be finessed without the feat. Neither affects the other.
I used 'overlap' as shorthand. And they do overlap.