OK, re-reading this thread & looking at the pics again.
The 'antennas' that I reference are not 'dish', but the old fashion beam/boom for VHF/UHF (I think). They are becoming scarce with cable/dish & digital TV now.
I could see a 'dish' interfering with the chimney airflow, but not the 1 or 1-1/4" pipe mast.