Arrow Speed/Projectile Speed

I am running a poison pathfinder using feathered fletching to increase bow damage from projectile speed, my question is, will the arrow speed implicit on a quiver actually contribute to this because it is worded differently "arrow speed" as opposed to having "projectile speed". In theory i would believe it would work but i am not actually sure if this is the case.

Can anyone give some insight on this?

The wording suggests it doesn't. Arrow is a subset of projectiles. Not all projectiles are arrows, so increasing arrow speed not necessarily increases projectile speed.

It would work in the reverse scenario. If a quiver provided projectile speed, and the notable said "Increases and Reductions to Arrow Speed also apply to Damage with Bows". Because projectile speed modifiers always affect arrow speed.