That's what I read into as well i.e. he's not making her do it. My wife does this all the time and SO DO I. We just see snow and get to it and think nothing else of it. It's no different that either one of us doing the dishes, laundry and other house stuff.Nothing in the tweet said he "made her" do anything. Maybe she just likes shoveling to help get over the frustrations of her work day? Maybe she thinks her husband is a walking heart attack. Who knows.
Too much jumping to conclusions here as usual.