Obviously, all boats are different, and I haven't sailed the specific boats you mentioned. That said, I haven't seen a lazy jack set up yet that wasn't adjustable so that you could accomplish easing one side. Usually, there are small cleats on the mast.
As others have said, depending on the specific boat it may not be necessary.
Still, I have on occasion just eased one side and tied it off to the mast (and left it like that for the duration). Hoist as shown on the video and drop favoring the other side (so the sail lands inside the stack pack) - easy.