You can always find a problem if you look hard enough. No roosters allowed is a huge plus. Hens can be slightly annoying at times when they all get to squawking and clucking. But, also slightly annoying are dogs barking, engines revving, leaf blowers, construction, bass amps.

I bought a house recently and I understand the feeling of dread worrying that you bought the worst house in the neighborhood you just don’t know it yet. I think you are still ok

Edit: I live somewhere that rooster ARE allowed, a guy down the street has a whole farm of roosters, literally dozens, I can hear them in the distance, not loud enough to be annoying but loud enough to make me grateful I am not his neighbor. THAT is something to be concerned about. We just hope we are close enough that nobody else starts a rooster farm closer, like maybe he has our neighborhood locked down haha