No, the wording on the tooltip is just weird. It's a flat 10% damage boost for attacks of that type.

For example, Dragon Kick gives you 10% to all direct damage dealt as Monk, including skills like Impulse Drive (comes from Lancer) and the initial damage on Fracture (from Marauder.)

However, these effects do NOT boost DoT effects, at least not the physical ones (I never did get around to testing Requiem and Summoner DoTs...) Thus Demolish, Touch of Death and Fracture's DoT effects do not benefit from Dragon Kick. Still, it's a very valuable debuff.