And I think LessWrongers are more likely than average to disagree with the "foundations" of the Austrian approach, if not some of their conclusions and emphasis.

I agree, but deny that it matters very much (if by "foundations", you mean methodology). The methodology that economists claim to adhere to does not significantly constrain their actual practice of carrying out economic research. Whether an economist claims to be a Logical Positivist, Critical Rationalist, Bayesian etc... doesn't seem to matter very much in terms of their behavior while doing economics.

Indeed. They have many good ideas, but more than a fair share of bad ones too, and the absolute worst ideas seem to be at the very core of the school of thought. "Awful Austrians" states the case pretty well, also worth looking at is Bryan Caplan's "Why I Am Not an Austrian Economist"