It's an interesting question. Hope some of the heterodox economists would respond.

According to my view with limited knowledge, works of Marx , Keynes and Kalecki could be considered as heterodox theory, where both price adjustment and quantity adjustment are the main fundamental of adjusting to any disturbance that arises in the overall economy. It is not right to draw inference that heterodox approach fails to address policy shock/effects. If we consider the empirical works of Lance Taylor, Bill Gibson, Nora Lustig, we can observe that their extensive work on the impact of policy measures on the overall economy is based on various structural rigidities that are common characteristics for many developing countries. Structural CGE modelling is the core of those work.