I find that in my personal experience, warmtone is a little more use-specific than neutral tone or even cold tone paper. Also, as a beginner I found warm tone harder to get good results from, as the blacks are often not as black and as such, exposed (sorry about the pun) my shortcomings/lack of skill and or experience. Also, if I was to desire a very decisive, definite result from toning, I would go with a warm-tone paper.
But in the end, I woud say that some subjects take better to different types of paper - depending on the feel/look you want.
In the end, I think it is the same story as with most tools available to the photographer - there is a right one for each job, from subjective to objective judgements and everything in between! Nothing will substitute for seeing what results you get from a given combo, and how you like to see it applied to your work.