I recently read an article by acclaimed Broadway star from the famed show Miss Saigon, Lea Salonga. In this article she discusses the specialities, but also the limitations of her voice, and I would agree. Singing lessons are about discovering your voice and your own abilities. I do believe it is important to try different styles of singing (Classical, Belting, jazz, Musical Theatre, etc.) because I do think it's important to healthily stretch your voice, and also know where your voice succeeds and flourishes.
I do believe that any can singer can sing many styles/genres because it's all in the stylization and placement, but some voices lend themselves to certain styles more than others.
Singing is all about knowing what YOUR voice can do! Check out the article HERE