Well put. And I am totally with you on the soloing over the form/melody thing. In fact it is a huge part of what I work on and try to do in my own playing.Yes you're totally right. I agree completely. My approach does not apply to jazz very well. I would look pretty silly on stage trying to read down a note for note transcription of someone elses solo haha.
I don't really approach jazz gigs the way I just described. For jazz gigs I generally just try to internalize the melody (if there is a form and a melody and we're not doing something completely free). I find once I've done that I know the form inside and out. Then when the band drops out and gives me an unaccompaned solo I know where I am, can play over the form and can structure my solo with motifs and licks from the melody itself which helps the audience and band to experience what I'm playing as it relates to the context of the form. At the end of the day all the other musicians have to solo over the form so why shouldn't we drummers! hehe
But yes you are of course right. Transcribing note for note from the recordings and trying to read it on a gig is not really an appropriate way to approach a jazz gig at all (though it can improve your playing in general if used by yourself in the practice room). Cheers