I wouldn't think this would be a problem. Pipes only burst when they are full and then expand with freezing temps. Your drain has two open ends, it should not be full. Now, if you have some kind of belly in the pipe that dips enough to hold water, it might cause an issue, but the water/ice can still expand towards the open sides. That would be a really exceptional case and your drains would need attention anyway if they are like this.