I didn't actually exclude that as a possibility: the existence of non-profits is indeed part of a capitalist system. But, I don't think a huge depth or breadth

I didn't actually exclude that as a possibility: the existence of non-profits is indeed part of a capitalist system. But, I don't think a huge depth or breadth of science gets done that way. A democratic government should seek to fund science through taxes, if that's what you're asking, yes: we collect taxes to benefit society and science provides an efficient benefit.