Well mine wouldn’t but that’s because he goes the opposite way and just won’t deal with the wet.
You know cats who insist on you opening the door, but then won’t go out because it’s raining, but then ask to go out 5 minutes later and do the same?
Or like when they put one paw on wet grass and then recoil horrified trying to shake it dry?
That’s my dog that is...
And I know some breeds are notorious for being a bit delicate about weather... but he’s a rottie, he’s supposed to be bred to look after cows in all weathers!