As a conservative, its not that educated conservatives think society is "fair", in that their aren't people with more or less advantages. Rather, we accept that life is "fair enough", and true equality, in the sense that everyone has the exact same capital/life outcomes is worse for society than it is good.

To be more fair, is better, in the sense that rewarding meritocracy is the goal, but even here there is a fundamental unavoidable unfairness born out of the natural talents and genetic predispositions of individuals making them uniquely advantaged for a given sport, field, career, etc.