Yes. I also use synthetic oils so that is a non issue. Read the cold weight if your oil. A 15w40is going to be thick. But then you get into a modern 0w40 and it’s super thin when cold. It’s not like gear oil with it’s ‘channel temperature’. And anyone out in the frozen nothing is buying the right oil.

A wet braking system would be using a super thin oil. Like ATF. You don’t want a film like engine oil. That’s what crank bearings use to not contact the metal underneath.