The point is not that Hickman would write a good AvX story, but that he probably don't want to write one, and since every big decision on regarding the X-Men pass through him, if he is not interested, then any story involving the x-men foghting the avengers will most likely be small and not consequential to the X-Men status quo.
So we may get a event where the Avengers kick the X-Men butts, the Phoenix says she loves Wolverine, Captain America and Thor and was only using Jean to get to them, at the end things will be the same in Krakoa. While in AvX the entire x-line was changed by that event and every story going forward was guided by it.