I agree that a typical NLGI 2 petroleum based grease would be on the thick side for cold weather, especially after some time and solids separation.
What's the part # for that Ford lube?
... Okay think I found it, XG-8?
It is a petroleum based grease with some zinc in it. It would work, but I would as soon use a thin silicone grease, like dielectric grease, and apply it lightly. If I didn't have any thin silicone grease, would I use that? Yeah, if I had to, as long as it doesn't seem to separate the base oil out too fast, for example when you start to squeeze it out, if a bunch of free oil comes out, or first a plug that looks like toothpaste, that would be too fast separation for my liking... but really, I'd buy some dielectric grease because it has other applications as well.