Getting back to elitist
I am not sure if you mean it is music of and for the elite.
Classical is not elitist music. Some may like to think that they are elite because they like it, but, remember where the roots of Classical lie, The people that go to concerts are in the main, grey haired and very ordinary most of them also like other types of music, Rock, Jazz, Folk etc etc.
Sure their musical taste may be more concentrated than the average but the term elitist is usually applied in a derogatory fashion by those that do not like it.