No, you got the PS3 all wrong. This is how it goes (typically): 1- Insert disc, boot game from XMB (few seconds)
2- Legal screen and logos (few seconds)
3- Load the game on to the hard drive (a minute, unless it's GT5, then nearly an hour)
4- Oh, this game already has several updates! (these can take a few seconds to a few minutes, depending on the size and amount if updates)
5- NOW the game begins. Usually there's a video, but they can be skipped most of the time.
6- Create a profile, tweak your settings (a minute or less)
7- Opening video or tutorial or both (variable) Now you can actually play the game!