I'll put the question this way.
From this paper The Theory of Hurricanes the model used for a tropical cyclone is a Carnot heat Engine. So with this simple model, when a TC undergoes rapid intensification due to an increase in sea surfaces temperatures (SST), it seems like there is a positive feedback loop in that the TC draws more heat from both a wider area and by mixing into deeper waters.
By contrast, if the intensification is due to other factors, say less shear or better outflow, that same feedback loop (more heat uptake) would exist but to a far lesser extent. Is this true in practice or is that an over-simplification? Or just plain wrong? Maybe any source of rapid intensification would have the same (more or less) feedback loop.