I thought Kingsley Amis liked Spillane's work.
That's quite possible--Amis was more broad-minded in dealing with genre fiction than most other members of the literary establishment. My own feeling is that Spillane was seen as rather down-market and seedy on both sides of the pond. An example is from Simon Raven, who often reviewed and championed Fleming's work but knocked Spillane by saying that Mike Hammer was an unlikable fanatic. I'll be posting Raven's Bond reviews soon.