Well yes, if the full size image maintains or ideally increases the quality of the rejected photo, it may get in. However, the rejected photograph already has quite a bit of noise in the sky, and it also has some jaggies on the cheat especially in the fairly obvious nose area. If its from a print/neg/slide a higher res rescan and then a closer crop may solve that problem, but to be honest if just a recrop of the pic already shown was done, I'd be quite surprised if the original scan / digital image could be cropped as closely as you suggest and still retain the quality this site looks for.
Just my thoughts though...
There are old pilots and there are bold pilots, but there are no old bold pilots