Surely, one can play any style of music on a classical guitar. There is at least one well-known Irish player who plays terrific celtic rhythm guitar using a classical guitar. The violin was surely developed to play classical music and, had other types of violins been subsequentialy been developed, might very well have been referred to as "classical violin". The classical guitar is, of course, used to play a lot of ethnic Latin-American music, and a number of modern flamenco guitarists use classical guitars in preference to flamenco guitars(which have a different construction).