I agree, there is
some luck in a 300. You can throw a pretty good shot and not get the carry. Hole in one seems like more luck than skill , but if you are hitting it at the pin you have a lot better chance!!!
I've been doing both for close to 50 yrs..Never had either. I looked at the bowling alley's web sites in TV and seems like you have lots of good bowlers there. Numerous 300's.