What is the rationale for not including the application of carb heat in the initial multi-engine airplane's engine failure procedure?
I've recently starting flying light multi-engine airplanes again and have been practicing the engine failure procedures.
I noticed in the POH of the aircraft I'm flying that it doesn't mention applying Carb Heat to the dead engine. So I looked at some other multi-engine POH emergency procedures and noticed that Carb Heat is mentioned sometimes, but in the trouble shooting checklist for restarting, after the initial procedure.
Shouldn't carb heat be applied as soon as possible, while manifold is still hot enough to heat the air to melt any potential carb ice? Like immediately after pushing everything forward and getting gear and flaps up?
Alternatively, I can also see an argument that before you identify the dead engine, applying carb heat to both engines would decrease some precious power from the currently functioning engine. Are there other reasons for not using carb heat sooner?