You should be, I've never seen anyone in Texas do this. Many fireplaces throughout the state (that average both colder and hotter than Houston which fluctuates temp much less than other places) are used as they are in other states, just less frequently and the fireplaces are not designed to heat as well. And people don't run A/C in the winter in places like Houston unless there was a very rare situation.
Domestic AC is very rare in the UK so I may have misunderstood.
There are also some extraordinarily stupid out there doing stuff like opening the windows and turning on the air conditioner on full blast despite explict and clear instructions on to close all of the windows before. Or thinking that rabbit ears tv antennas were illegal - in the later half of the 20th century no less. All adults too young to be suffering dementia too.
I found myself really unsettled by this. Light a fire, and turn up the air conditioning?