If you are Google, would it be in your interest to support a supposed competitor, who really is only just aggregating Google search results mashed up with others like Bing, that appear to basically produce the same results as Google; in order to at least be able to make the claim that you are not a monopoly?

Does your answer change when you consider that Google gave the duck.com domain to DDG a few months ago?

If that does not change your opinion, why would a competitor that controls a rather pivotal assets like an extremely valuable domain like duck.com to what is presented as a competitor to Google?