Most likely all that old goosegrease refined from reconstituted sperm whale squeezin's has congealed into a solid mass inside the gearbox! And the cold simply adds to it's hardness on the rockwell "c" scale!
Rip into it and give it a mega-douche, removing all the old crap. Then lube up real nice with modern stuff. If it's currently working (sounds like it is), then once ya get it back together with a fresh, modern lube job, it'll act like it's inhaled nitrous.
This is good practice for ya and simply adds to the skill set for when the big crash comes! Why not rip into the spare since it's unknown now, use that for a learning experience?
I've not done a sii motor/gearbox, but there are normally a set of contact points involved with a cam inside the wiper gearbox that operates the parking position for the whole shebang. Those have a habit of getting mungee over the years, just like in a distributor!