Firstly, thanks for your comments.
However, The max. PAE from source-pull test was 62% which is greater than the drain efficiency of Class A PA.
I designed the Idc to equal Imax/3 between Imax/2 (Class A) and Imax/pi (Class B) ... so it is a class AB power amplifier (PA).
Also, its gives more than PAE more than 35% at certain matching circuits, as shown in the following figure.
I understand your point of view ... I think you are speaking for push-pull class AB PAs.
But you can design class reduced conduction angle amplifiers by using singel transistor as shown in RF power amplifiers for wireless communications Cripps, Steve C [2nd edition - page 44].
this is design for class AB (two stage, not push-pull) at the paper titled with "Efficiency Optimized 60 GHz CMOS Power Amplifier for High PAPR Signals-2015"
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Also, if this is a Class A amplifeir, there is a weird relation ship between S11 and S22, PAE, and the gain.
So, where is the problem.
Again, Thank you for your interest