Wind turbine on the roof ...
The physics of this situation is that a wind turbine on the roof will take more energy than it will produce, just like an alternator on the axle.
When DH and I were in the electric vehicle business, I lost track of the times someone said, "I don't understand why you haven't thought of putting a windmill on the roof" (assuming we hadn't thought of that idea that wouldn't work) or "... an alternator on the rear axle," which has the same problem. It was always the rear axle. We could never figure out why they thought an alternator on the rear axle would work better than on the front axle. :h
Maybe the poster of the wind turbine comment was joking, but you would be amazed at how many people seriously suggest this idea and never can understand why it is a joke.
I won't get started on solar. Yes, it has some good uses, like keeping the battery charged.