Even if I don't make the claim, won't they still potentially increase my premiums for letting them know as it will be on my record?
Yes. been there, done that.
I had a very similar issue a few years ago. Someone damagaed my car in a car park but drove off. A witness kindly left a note so I checked online for their insurer. I went through the other parties insurance but informed my own. It was a bit of a pain in the rear to be honest. The other insurance company initially refused to deal with me and said I should go through my own insurance - until I said I'd simply go through an accident management company which would likely double their costs.
About 6 months later I got a payout from them. I don't regret the decision at all because it was more a point of principle after so many times having people damage my car and simply drive off. I would do the same again. But my insurance did go up slightly at renewal and I have a non fault accident on my record. I was with Admiral at the time. So I just went to a new company and got insurance cheaper than the prevous year. Presumably it would be even cheaper if I didn't have the "accident" on there.
Mind you I'm an old fogey now so a slight percentage increase on my policy isn't much money overall.
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