I don't know what you're trying to say here, but the evidence for malleability of IQ and for SES influence on IQ --- IQ itself being a diagnostic output and not a latitudinal ranking of people by capability --- is pretty strong. It's important when having serious conversations about this to structure the causality correctly: "correct for IQ" sounds at first blush like you've established a causal role for IQ, but really you might be (and probably are) just manipulating whatever X variables are causally linked both to IQ and to other outcomes.