I definitely think that I've experienced excessive vertical growth due to mouth breathing. I actually think I used to mouth breath as child throughout the day as well and not just at night. I remember being teased at school for always going around with an open mouth at around age 12/13. I then made a conscious effort to close my mouth which was really difficult, and I think that may have been because I was having to get used to only nasal breathing. However, as I now realise the habit continued at night.
One thing that I've always noticed about my bite that puzzled me - and probably is only explained by too much vertical growth - is how long my crowns are (they all seem to have over erupted) without there being any vertical overlap between my upper and lower incisors. It's like the vertical gap/height between my upper and lower jaw - especially at the anterior end - has been increased in two ways: longish teeth and no incisor overlap. I must have an open bite tendency. It's funny but when my adult teeth came through as a child they always looked overly large in photographs where I was smiling.
Does excess vertical growth do any to diminish the prominence of your chin? You know, in the opposite way to how some people with a collapsed bite/short lower face have very jutting chins. It's just that I have a flattish chin - if that makes sense - and I've noticed that people with a longish lower face and a class III tendency often lack chin projection.