As far as time, you get everything cleaned up and put away, and the fermenters and yeast ready before you chill. So it adds a little but not a lot of time.
+1. I get everything possible cleaned and put up during the stand, so the time loss isn't big for me either.
By the time I get to the stand, all I have left to clean up is the kettle....which you obviously can't do until after!
I also need to flush out the pump and hoses,, but that adds <5 minutes. That includes hooking up tap water, flush with the pump running, tear down. Doing that anyway.