I am surprised that no one has corrected the OP yet on his choice of gun.
I know of no quicker rotating bolt action rifle in existance, some straight pull's might give it a run for its money.
The reason why the enfield is THAT fast is due to its design, *cough* made by a Canadian *cough*, one of these design features is that the bolt handle sits directly above the trigger. The user does not have to let go of the bolt, and one finger can extend down to tap the trigger each time the bolt closes. This is exactly what this shooter is doing.
Where this falls apart for the Mosin and the K98 is for two main reasons. The first is that the bolt handle is too far away, so the hand must be moved from the handle to the trigger. The second is that even if it was close enough or you had a very large hand, the MN and K98 are both mauser pattern actions, and the cocking of the bolt happens while it rotates open, this means that you need a full handed force to do this, not just one or two fingers.
Just to clarify the enfield cocks on close, so the user can build up momentum as they slam the bolt forward.
Also just to point out as I <3 the enfield. the world record for enfield shooting was set in 1914 by alfred snoxall. 38 hits on a 12 inch target at 300 yards in one minute.
http://en.wikipedia.org/wiki/Mad_minute
i would have a hard time doing that even with a garand, never mind a bolty.
edit : blinde beat me too it...