I do the same when I skin up, although I have to say I always will hike given the choice. Obviously, this is not an option in most circumstances.
If you have narrow skis the amount of coverage becomes more of an issue, but otherwise on wide powder skis nowadays is less of an issue. I would go for whatever is most convenient to attach to the skis, unless you think you need more friction when climbing.
Hope this helps a little but definitely use TGR.