You are proposing the model:

    wage ~ education + experience + error

If the errors are correlated with education or experience, that indicates a confounding variable problem. Most data shows that including race and gender as explanatory factors improves the model:

    wage ~ education + experience + gender + race + error

Until the coefficients of gender and race become approximately zero, one can say that the market is discriminatory. The counter-argument is that race and gender are not actually the real explanatory variables, but only proxies for better variables, like "ethic" or "determination". Those kinds of arguments are often viewed as racist and sexist.