Well, the article has pretty much said everything. Generally, when using framerate independent physics, movement more or less looks the same, but it is not pixel perfect - there will be lots of very small random variations each time you run it, because dt tends to have small random variations. This made a lot of people complain because they couldn't guarantee that an initial setup would work the same way every time, so people might occasionally lose a game due to random chance, or they couldn't make it easy to guarantee a level was even possible. So by default it uses fixed - the motion will be almost identical, but exactly reproducible every time. I'd recommend using framerate independent whenever you possibly can get away with it because as the article says it's generally better, but fixed is just to stop people worrying about reproducability.