Sense data in itself can't be contradicted because it contains no propositions. As for knowledge logically derived from the sense data--it is exactly the choic

Sense data in itself can't be contradicted because it contains no propositions. As for knowledge logically derived from the sense data--it is exactly the choice: "which logic should I choose to interpret this sense data?" that is in question. If you choose a logic where all models are wrong and some are useful, then it won't contradict knowledge derived according to itself. If instead you choose some other way, you're again not going to run into any contradiction. The choice of an epistemic theory can only be about utility. Truth and falsity can only come later because they must be expressed in terms of the chosen theory.