when i say musical, i don't mean you tune your drums to fit the key that the song is in (though that would be awesome). rather, what im saying is that it should fit the music, and yes, phrasing. Phrasing must be coherent and interesting... when i say musical, probably what i mean is 'getting your message across'.
think about a certain guitar riff in any song. now try to play that on your drums. you may look at me and go 'siao, how is that possible.' but you won't know before you try. use your limited palette of sounds to sound as alike to the guitar riff as you can. you'll be surprised as to what may come out of it. that, to me, is to think of drumming in a melodic way. it may not SOUND melodic all the time, but if you let someone hear the original riff, and then your drums' replication of that riff, i'm sure they'll think its cool.
and yes terry bozzio plays in a wicked mix a melody and rhythm... he often plays ostinatos with 2 or more limbs and solos melodically over it. that is absolutely killer and is ANOTHER way of playing drums, not the WRONG way. different does not = wrong.
i don't think chops are always necessary either... as long as you make the audience feel good about it, that's good enough. you have to understand that not everyone understands pataflaflas and inverted doubles, but everyone understands melody and melodic phrasing.
or you could be lazy and not think, instead relying on a barrage of notes that the audience finds cool, just because its a lot of fast notes. :?