Your trophy policy goes completely against mine. I almost always get at least 90% of the online trophies before even touching the single player portions. My recent ones are BioShock 2 and BC2. I've been doing it that way since 360 first launched, and have carried it over to the PS3.
First Person in the world to Platinum Aliens Versus Predator
My Trophy Policy: A completion is obtaining all single player trophies. Online trophies are optional at best truthfully they can go screw themselves though. They dont belong in competitive mutliplayer we shouldnt have to rely on others to obtain trophies.