The differences are very substantial, you can absolutely tell that next gen bring quite a lot more to the visual table than just resolution. The 360 version looks fine for last gen hardware and there is clearly no reason to buy a Xb one for this game if you have a 360.
I also assume Youtube videos tend to even things out a bit and hence make the 360 version look closer to the Xb one version, because the better visual quality version will lose more in the process than the lower visual quality version.
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