The tooltips are wrong; the skills are using the base damage as intended.
Thanks for the clarification.
In that case, I would say the problem isn't just the damage numbers from the skills, it's also the misleading tooltips from the buffs themselves. Bow, Oath of Desecration, Melee Power Stance, and the like should probably clarify that they only augment certain kinds of attacks so that players can make informed build decisions.
As is, it's extremely unintuitive that skills like Precise Incision are not affected while skills like Burning Touch are.