For a ding in a parking lot most people would just either file a report online or call the non-emergent line around here. Usually though you're just exchanging insurance information and letting them handle it (unless you're trying to not have it go through insurance). I'm sure there are quite a few police departments around the nation where you can just file one online.
I've only been in one accident where the police were called where I was rear-ended twice but it incapacitated my vehicle necessitating a tow, ended up being a 3 car accident, with several thousand in damages to my car. Thankfully the police were called as the driver was cited for following too closely. I went through my insurance got my car fixed and then my insurance company subrogated against the at-fault party to recoup my deductible. I also had loss of use coverage so I had a rental car during the time my car was in the shop getting a new back bumper and paint job (which was quite pricey for that).
As far as more important things IDK around here I think the police love to have things to do lol. There's usually a post a week on Nextdoor about "why are there 10 cars at this house" and it's usually something minor enough. Granted it was a suspected bank robbery (crazy that this still happens these days) but there were 15 police that showed up for a non-armed suspect. Here I was just returning an
Amazon package to UPS store and the two workers in the store are just staring out the window gleefully exclaiming "they got 'em", I walk out and can't get to my car because there's so many police cars around. Typically if anything most around here think the police
overreact in response but hey it's our tax dollars at work, I'd rather it be that than an under-response "cough cough Sacramento police"