Re: First Contact alternate timeline
Cochrane saw the silhouette of the ship through a telescope while being anything but totally sober. Given that he broke the warp barrier, met guys from the future who told him about a bright future and friggin cyborg and then met aliens I doubt he has a precise memory of the shape of the E.
I also don't see much of a similarity between the sleak, arrow-like E and the NX-01.
He also saw it in better detail before E-E fired on him.
ENOUGH OF THIS TURGID BASH WANKERY!