Leaving the drum boxes out for the moment and concentrating on the tone generation of the organ's voices.
Use of samples or S+S (Sample and Synthesis) would be digital. True digital additive synthesis (like Kawai used) and FM synthesis are also digital (though I suppose you could do this using analogue oscillators. Physical Modelling will be digital - when Roland et al apply it to organs.
Creation of waveforms in other ways, whether through subtractive filtering or waveform addition, would be analogue.
Of course there may be some digital circuitry in analogue organs, but not actually a crucial part of the tone generation process - all sorts of control circuitry etc. Also maybe for top octave synthesis.
Maybe a little simplified, but that's basically how I'd read it. Pretty much what you said, Skip.