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Mises and Rothbard attempted to restructure all of core price theory around preference orderings instead of utility functions; in particular, Mises and Rothbard deny the existence of indifference between bundles of goods. Aside from the rejection of indifference, there's nothing particularly
wrong with Austrian micro, except that it's irrelevant. So where it's innovative, it's wrong; and where it's not innovative, it's irrelevant.
ABCT has bizarre implications for expectations. On that basis alone is ought to be discarded. There are numerous theoretical objections to it; see
here, about halfway down, for an abstract. I am less familiar with empirical objections but doubtless someone else can help me out here.
My basic theoretical objection to ABCT is the same as my theoretical objection to NK business cycle theory: both rely on using the short-term interest rate as the barometer of monetary policy. That is, quite simply, untenable. Interest rates were low in the US in 1931, and high in Germany in 1923; would you argue that monetary policy loose in the US and tight in Germany? One cannot use nominal interest rates to judge the stance of monetary policy. One cannot even use real interest rates; though those are marginally better.
The best barometer of the stance of monetary policy is to look at aggregate demand (nominal GDP) relative to trend. Sliding into empirics for a bit: by that measure, monetary policy has been consistently tight since 2008, not loose.