I think the later Burnout games ran better and more consistently on PS2 than on the Xbox. There were also effects completely missing from the Xbox builds of the games. So there were areas outside of shaders where PS2 had real tangible advantages.
This ps2 centric game certainly didnt look worse on xbox, ps2 had larger sparks, xbox better reflections?
Black, which was using the same engine was both graphically and sound wise better.
They were clearly in the same console generation graphically.
So where DC and Xbox, and ps2.