I'm pretty sure it's completely dependent on the game. Have you ever actually played the same game on both a PC and a console, where you can just press the button to run on the PC version but have to hold it on the 360 version?
There are plenty of PC games where you have to hold the button to run. I don't think think it differs based on platform.
Well, whilst the game might not natively support it, you can bind keys on certain keyboards to toggle things. I have seen guys do it. I want to do that, but on my 360 controller.