Just because the government doesn’t fund it doesn’t mean it won’t exist.
So to answer your question:
Science: It depends.
Some things are needed by the people but not profitable so industry won’t deliver, in those cases, I’m OK with the government stepping up. 200 million for autism research in this years budget is an example of where I support it. The answer to that and many other diseases may not end up being something a company can sell, so there’s not a business model, but solving certain medical riddles will ultimately benefit the populace and the government’s future budget. A good deal of these grants go to universities, other innovations tend to spin off from these research projects and many of those lead to more revenues for the government, so it’s easy to make that argument.
Art: No.
Sorry, it’s a consumer product, let the consumer pay for it. If nobody wants to pay to see it or buy it, then we can live without it.