There are two answers here really, one based on career drummers, and the one for artist drummers.
When I was working predominantly as a freelancer, like many others have said, I had to be fluent in as many things as necessary to keep working. Regular pop functions, jazz work, the odd orchestra or theatre show; I had to do it all simply to make a living.
These days I have lost interest in that, and instead I have specialised in the snare drum as a solo instrument. I am slowly building a new career around that, with publishing, composing, teaching, and performing within this niche. I will likely not work as a freelance kit player in the same capacity as before, but I am happier artistically, at least for now. Who knows, in the future.
Personally, I prefer that master of one approach to a jack of all trades, master of none, but often professional considerations trump that.