Boeing gets its share of government cheese, don't be naive.
There is no way that Boeing received, in any form, anywhere near as much "government cheese" as Airbus has received for the development of this one plane.
Of course they do, but that's not the point. AB is going to claim, if they haven't already, that Boeing's dealings with NASA and the like have given B technology benefits that they have flowed down to commercial aircraft to the detriment of Airbus and causing them to lose sales. Well, given AB's cocky attitude the last few years and the fact they overtaken B in both orders and deliveries for 2 years running, it won't take much more than a first year law student to slice and dice THAT argument. We'll see how it turns out.