I'm far from an expert, but if you are happy the other party is genuine and isn't going to develop some malady in 2 years time and come back at you, and only you can judge this from the short period with the other person...IMHO there are still a lot of people out there who are straight and not looking to make loadsa money from a simple damage accident, however it's possible the other party will get calls from so called claims management/lawyers (sharks) informing them of how much compo is waiting for them, so be sure of the pther party.
For benefits, you keep your NCD intact, no excess to pay and when you come to renewal and look for new quotes (you should do this anyway regardless and let them match the better quote, it keep them on their toes) you can honestly admit the accident but say that no costs to the insurer involved.
If the other party does succumb to compo temptation down the line, i assume your current uinsurer can still deal with the case at a later date, after all you're only trying to keep costs down for everyone including them, but that might be worth asking your insurer about and see what they have to say.
This is what i would do, but as said i'm far from an insurance expert.
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