Of course they are...SMH...you have my sympathy.
At least these aren't the worst rules I've seen. The ones restricting coop height to something ridiculous (40"!) or run size to something like 30 sq ft (but you can have 6 chickens!) or setbacks of 200 ft from all boundaries and buildings (in a regular suburban type neighborhood) are the ones that I really scratch my head over.
The heat source one I'm sure is well meaning, but probably causes coop fires every year.