Show us the doorbell with rating of 120VAC? I find it hard to believe there is one rated for 120V. Secondly yes, I have seen doorbell hooked up with 120V line, the only reason I see this done is because many of them is Deaf! It was used to flash the lights to alert them of someone's at the door. I am not the guilty one because I strictly adhere to the NEC. Yes, my house will trigger lights, and no voltage applied on my doorbell, using relay contact and flasher relay, tied with carbon monoxide and smoke alarms. The idea of applying 120v on doorbell button send shivers in my spine! Image if its raining, and someone pressing that wet button, SMH!
Just re-read your comment and researched, I might have misunderstand and thought you meant the doorbell button. Just found out that there is 120V doorbell available, not the button.