Modulation of load impedance is an effective way to maintain efficient power amplifier (PA) operation over high dynamic range modulated signals. For high efficiency, a load modulation approach can be applied to inherently efficient classes of PAs such as those with harmonic tuning: class J, class F, and inverse class F. This paper presents an analysis of harmonically tuned amplifiers operating under load modulation conditions, deriving the optimal loading trajectories for these multiple classes of operation. Because these load trajectories are complex, it is then shown-through a series of analysis, simulations and measurements-that harmonically tuned amplifiers are better suited for outphasing systems, than conventional amplifiers such as class B. A design methodology is proposed and validated through design and measurement of a 900 MHz outphasing system, comprising of two Gallium Nitride (GaN) class J branch PAs, delivering 44.6 dBm with 75% PAE at saturation, while mantaining PAE above 60% over a 7 dB output power back-off.