My reamer is a match and the throat clearance is .0005, so it is actually 8 times. When the firing pin strikes the primer, it drives the case forward which then centers it up as the shoulder comes in contact with the chamber shoulder.
Internal Ballistics - Hornady Manufacturing, Inc
I've read the info at that link and I don't remember it saying anything about why the bullet needs to be in the case when contact is made with the rifling.