My good friend and neighbour is an insurance assessor for one of the bigger UK car insurance companies (who shall remain nameless) and he told me a week or so ago that they were creaming it in, and their Q2 profits were the best that had ever been seen. Obviously as MH says, they have you over a barrel as unless you SORN your car, you must have insurance for it, even if over the last 4 months people have hardly used them. When I sarcastically said to him would they be lowering their premiums them, he just looked at me with a rye smile and said "what do you think"
Interestingly as well he told me that during the middle of the pandemic, due to all the body shops being closed, there were a far greater amount of customers vehicles being written off and paid out on (even though in normal times they were more than economical repair costs), due to not being able to get them repaired or get parts. He said that means a lot of his body-shops and their holding centres, will be having a lot of lightly damaged, repairable cars entering the used car market in the weeks and months to come, as Cat C or D write offs.