You don't know what a straw man argument means. Also, you drew the exact point the socialists wanted you to draw and thus proved my point. Who can argue with your little sketch of fairness? If the "public" does the funding shouldn't the "public" get the benefits? Of course, its a simple inference like a Sudoku puzzle with one number missing.
As I indicated, you need to widen your view. Where does public funding come from? Is it valid for the government to confiscate money from some people to give to other people (poor people, investors, kings; the recipient does not matter)? This is the fairness that I was referring to and the wider question; is government funding of investment a valid function of government? What is your standard?
Straw man. Fairness means:
public funding -> public benefits
private funding -> private benefits