A Byzantine pope?

Could the election of an Eastern-rite pope be a catalyst for unity between Rome and the Orthodox churches? Joseph P. Duggan argues that it could indeed. It's an intriguing idea and perhaps there's something to it. All the same, from what I know of the Orthodox and their attitudes towards their "uniate" brethren, I tend to think they would regard such a choice as a slap in the face -- as something to accentuate the east-west divide rather than to bridge the chasm separating them.