I’m equally well-behaved/lucky/boring (choose your preferred description) – never had an accident worth mentioning (reversed into someone once possibly cracking a number plate – the guy claims it was me, the dirt in the crack claimed the crack was old but I gave him a tenner for a new plate and left – figured it was worth a tenner not to have to argue) and a single (in my case 4 points due to a whingy magistrate) speeding incident nearly a decade ago.
Even on private insurance, a first offence with 3 points would be unlikely to affect you, but as previously mentioned, you should let the insurance know – belt and braces kinda thing
"Man is born in freedom, but he soon becomes a slave, in cages of convention, from the cradle, to the grave."