Actually in a lot of cases, the games run better on Xbox One[1], and an increasing number are enhanced for the Xbox One X, which means that by default they run at a 9x higher resolution (so 720p -> 4K; 3x vertical, 3x horizontal).
You can see here[2] some comparisons for Forza Horizon and the difference is quite striking.
[1] https://www.eurogamer.net/articles/digitalfoundry-2016-vs-xb...
[2] https://www.eurogamer.net/articles/digitalfoundry-2018-forza...