In the 80s, I contracted services in the oilpatch and was in the field every day for 6 1/2 years, literally almost everyday. I left the lanoline hand-cleaners in the bed of my truck. I don't recall them freezing, but in the summer they would kinda liquify in high heat. They still cleaned fine and had a greasy ( i guess from the lanolin) feel. I used go-jo and some other brand which was cheaper. I just can't remember it freezing.

Happy Hunting, Phil