Core ENH #2 "Tempest": While dual wielding can use DEX modifier to Hit with Light melee weapons...

Core ENH#3 "Graceful Death": While dual wielding can use DEX modifier for damage with Light melee weapons...

I have a pair of Balizardes that are using STR both for to hit and damage. I thought rapiers were considered light melee weapons. I swapped a feat out for Weapon Finesse, and now I have DEX to hit, but still STR for damage.

Is this WAI and rapiers are not actually Light melee weapons?