Every motor should be left tilted down if stored out of the water. When your motor is down the engine will gravity drain all water out of it. If you leave the motor up, it wont drain and will collect in the prop exhaust housing and can then freeze - cracking the lower unit. This has been explicitly stated in every outboard owners manual
Leave mine tilted up in the winter at the marina. Never an issue yet. I keep a heater in the cabin to remove moisture. Just plugged her in today to keep moisture away
You in salt water or river water?