I see "the best classical musician" as being someone who is on the cutting edge of modern progress.
That includes carrying all the classical traditions of every global cultural history.
That's a difficult position to be in today, in between the traditional and the modern technology.
The modern technology expects you to be able to produce music by simply turning it on, which is available,
while the traditional expects you to be a symphony composer and player of all symphonic instruments.
That's classical on demand, royalty-free, with improvisation expected to sound real.
Who's doing that right now, with a modern media sensibility?
That's who's got my vote as best classical musician.