Hmmm, perhaps. It might take a little bit longer. I've got a dampfbier carbonating now that I cold crashed for 5 days, bottled it, and it's been 2 weeks. It's still bit light on carbonation. I trust that it will carbonate, but it just might take 4 weeks to get there. It's damn clear though, and I like that. And there's just a dusting on the bottom of the bottle (like Sierra Nevada) and I also really like that.Carbing in the bottles will then take longer, presumably?
perhaps slightly, but since it is fresh healthy yeast, if you keep the bottles in a 75-80f space they should carb up plenty fast.
I would add yeast to my bottling "bucket" (keg), but I don't want to waste most of a pack. The extra time waiting for it to carb is good for the beer anyway. I'm usually drinking all my beer (on tap) waaaaay too early and young.