Anything you need a Run dialog for, you can just press the Windows key and start typing. Everything in your path shows up, with "recently used" suggestions on the right side, and quick feedback if you mistype something.
I'm not sure either lifted it from the other. The concept was around with third-party apps for XP and built into Vista, but it's a feature that's gotten so ubiquitous (spotlight, unity dash, windows search) that it's difficult to say who came up with it first, if anyone did.
I haven't had any performance problems while running games with search indexing on. This laptop doesn't even use SSD.