After thinking about it rather too much, I’ve had a crisis of faith regarding hot blowing, as well as a possible revelation. Given that hot gases are less dense than ambient temp gases, it would seem that they should yield less aero effect (altitude density). There’s also talk of “higher energy”, and it’s true that higher exhaust stream velocity would be a positive; but the much greater portion of the energy is thermal energy that drives individual exhaust molecules to higher random internal velocities which would self-null, i.e. for each molecule moving in a given direction, there’s another molecule moving in the opposite direction.
Poking around in fluid dynamic theory suggest a –for me- counterintuitive theory. Air at exhaust temps is three or four time more viscous than at room temp. Boundary layer thickness is largely a direct function of viscosity and an inverse function of velocity. The point being that the hot exhaust flow forms a thick, sticky boundary layer or plume that contains and/or coheres with the lower temp flow. The hot plume will be more easily influence by aero operators than lower temp gas flow. Thus it’s not so much the high energy flow as the viscous heated plum that that allows for better direction and control of the overall diffuser air stream.
Of course, this may only be what the fluid-dynamics modeling has been saying. In any event, comments are invited.