Depends on the game, really. That may be true for some, but far from all.
Most of them look pretty much like that, with very little difference until you start getting to really low-end or old chips. Games are mostly GPU limited these days and those that are CPU limited are mostly leaning on one or two cores and thus haven't really gained much from recent generations.
If anything, this shows that games aren't strongly multi-threaded (which comes with severe development and debugging impact) or aren't made to scale beyond the highest end chips consumers are likely to have.
Lastly, consider that while the graphics effects and physics effects of a game can be scaled down, scaling down the AI in many instances would cause balancing issues.