Shipper,
You have no expectation of privacy in the public areas of a bowling alley, thus a cell phone going off is no invasion of your privacy or anyone else's.
Yes, I've been paged on the bowling alley house phone. In my center, the speakers for the bowling center's paging system are about 100 times louder than a cell phone and they're directly over the lanes. It's much more of a distraction to hear that thing go off than any cell phone. It's bad enough hearing "LANE 22, YOUR ORDER IS READY" without having to hear people getting paged to the phone right and left.
When you first voiced your complaint, I could sympathize with you because there are people who are too cavalier with their phone usage, but now you're just being unreasonable. If you want to pursue a life without cell phones, you're free to do so in your own home. Once you step out into public, you can't control that environment anymore.
Jess