Although, as I re-read your post, it appears you no longer reside there (“ my first AZ house didn’t have”...) as in past tense.
That's correct. I'm now in my third house here in AZ. First one...HOA, no Architectural Committee. Second one...HOA, the AC approved a multi-band vertical (after a no-cost legal loophole). Current one...HOA, I applied for a multi-band vertical, and AC denied it.
You all may think I'm a glutton for punishment

, but besides antenna restrictions, I have no problem with HOA's/CC&R's.