The capitalists want to solve the problem of people not being incentivized to work (or to work harder) because their increased income will decrease their welfare benefits. Capitalism’s solution, as you’ve said, is to destroy the system - remove the problem entirely by removing the benefits. But just because you don’t agree with that solution (I did say that “either side will fight to the death to prevent the other side from implementing their solution”) doesn’t mean they don’t see it as a problem to be solved.