As with most things, it equips to do one thing and hampers you from doing another. Usually, the people successful at playing multiple genres have absorbed these since the beginning and not tried to cross over late in life. Arguably, it is easier to play classical for a jazz player than vice-versa, as jazz requires a completely different mental process, an ‘instant composer’ process which is harder to acquire than an interpretation technique.
Chick Corea, Herbie Hancock, Keith Jarrett, Hiromi to name a few have studied classical when young.