I don't find lunging useful for your particular situation. A spunky horse in cold weather needs to be micro-managed to get his attention. The best way to do that is to put his feet where you want them when you want them (shoulder-fore, leg yeild, etc) You can't do that from the end of a line. I feel that lunging gives the horse an opportunity to behave badly when he would not do the same under saddle, canter being the perfect example. If I lunge my energetic horse and ask him to canter, he throws in some big time bucks and flies around the circle before settling down. The same horse would not dream of bucking with me up there...at least not to date. (hee hee) I would much rather manage a situation from the saddle.
I was thinking of this thread today as I got on my OTTB in 30 degree weather after having 4 days off. I had only 30 minutes to ride and knew I had to squeeze in a ride to get him some exercise. From the second I mounted, I knew there was a lot of gas in the tank. After a short amout of walking, we pretty much just did canter laps until we ran out of time. He was very strong and did get a little ****y about the contact, but I held my ground without picking a fight, half halted, rode circles and lead changes until he was going at the speed that I picked. It didn't hurt that we were both in the mood for speed, but I feel like I accomplished a lot in what would have just been wasted time if I had exercised him from the ground.