I don't know. I know nothing about guns or shooting. I was asked by someone who does shoot and knows that I know a little about electronics.
I did not ask a lot of questions, but I understand this is for target shooting.
My guess is that such a counter would be used to keep track of when to do more detailed checks: Just like you take your car to service every
50,000km, you take your rifle in for a service every 2,000 shots. On this service, you get micrometer measurements, x-ray photos or whatever.