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I see better now what your question was about. I missed the part where the discussion was about the Tropical depression following would have less energy to work with. Which made my volunteer (who asked ya' anyways?) info and answer not well fitting. My apologies for that.

But yeah, the heat itself is energy. 'Course you knew that.

It does stand to reason --remove some of the heat (take it up into the sky) would result in less energy (in form of heat) left in the water in wake of a storm. Liquid water has to move in from somewhere to replace what had evaporated. Some of it will rise due to reduced pressure, while what's left on the surface will end up a little cooler just from being shielded from the Sun adding more heat, too, which could result in thinner layers of heated (warmer) water over colder water deeper down. All which adds up to less energy being available, even with myself here missing explanation of yet other factors in regards to colder waters replacing (if but in part) warmer water that went up into the sky.