Re: Is there tax payers funding to university though?
There is, but I think the aggregate amount you're talking is pretty minimal. And while I can understand the argument that composition classes are not relevant, I don't think that necessarily means that, say, university choirs aren't relevant (which is more meant to be a fun/meaningful extracurricular activity than a source of groundbreaking or important material).
Also, at least in the US there's been a growing cultural dilemma over whether anything that falls under the broad umbrella of the humanities is worth studying or funding. So this debate is definitely happening, it's just broader than music.