I just dry hopped the batch that led to this OP this morning. I cold crashed in the primary, and I'm dry hopping in the keg, but it'll sit at room temp for a week, and then I'll pull the hops before chilling and carbing. I'm hopping to see a difference too, in stability of aroma, etc.
I cold crashed in the primary, but I have to move my carboy in order to siphon. I knew that would stir up some trub and some of the krausen leftovers on the side, but I figured it'd settle back down. I let it sit for an hour after moving it, but it still had stuff in suspension. Next time, or as soon as I get an extra keg, I'll rack to one keg and cold crash, then transfer to a second keg and dry hop.