I'm not sure there's a great deal of benefit in comparing the Red Arrows and the Thunderbirds or the Blue Angels (USAF and USMC air display teams) to say that one is superior to the other. The Hawks that the Red Arrows fly are training aircraft; light, agile and intended to pull off tight manouevres. The planes the Americans fly are tactical intercept fighters; bigger, heavier and faster. The American displays are about noise, speed and close formation fly-bys, forgoing the more spectacular displays that the Red Arrows (and the French and Italian teams, for instance) do.
There is a general sense in the flying community that, in general, the RAF pilots are slightly better trained than the Americans, but that the top notch pilots in both are roughly comparable. The Red Arrows put on a more flamboyant display, but the Americans fly much, much more interesting planes - which is 'better', I suspect, depends on what you want to see from them.
I can't imagine it will make much of a difference to any future trade talks, it's not as though the Americans are going to buy the planes, and if they think our military is best suited to airshows that's just going to undermine us, if anything, although I doubt many of the decision makers in any potential talks will be attending.
O.