Engineer
Major
To answer your last question first----there is really no way that TVC will increase thrust, it merely deflects exhaust gases to enhance aircraft control----the engineer is correct when he asserts that there is a minimal reduction in thrust as the exhaust gases lose energy when they encounter the deflected nozzle. He is also correct when he points out that TVC increases maintenance and complexity- while it enhances control authority of the aircraft.
That is correct. Thrust of an engine is determined by the internal air flow condition and the turbine temperature. What MiG-29 talked about is related to the function of a variable convergent-divergent nozzle, which he misrepresents as the function of a TVN. However, all a variable convergent-divergent nozzle does is optimize the engine's performance at different flight conditions. The nozzle does not create what's isn't there the first place -- thrust.