Be careful here, you may assume that it's all just damage related, what happens in two weeks if other driver tells you they've whiplash or such like.
If I were you I'd notify your insurer to cover yourself, if you decide to pay it yourself then you're covered and won't affect your no claims bonus....as far as I recall from a previous accident a few years ago
I agree things often take a different turn than they started out. If it stays as is I would pay for the repairs myself but if it changes and the other persons costs increase then it may become an insurance claim. You are obliged to let your insurance company know hopefully you can just pay and get this sorted quickly enough.
After the crash happened a guard was driving past and stopped, we went through all the details, no issue, I asked him if I am obliged to notify my insurer, he said no and his advice was to resolve it without insurance.
Interesting I was not aware I thought it was obligatory I had a nosy on my policy there with Aviva they say “it is crucial that you contact Aviva immediately” but that may be open for interpretation. I think I would be having a look at my policy.
They also say “Even if you plan on paying for the damage yourself, it’s vital to inform your insurer immediately; this is because the other driver may bring a claim in the future.” A recommendation and requirement are different but this is unclear which this is.
After the crash happened a guard was driving past and stopped, we went through all the details, no issue, I asked him if I am obliged to notify my insurer, he said no