CF doesn't generate club head speed. Only linear force generates speed.
During the release interval, the swing radius is increased. Without any linear power applied to the club, there will be some minor redistribution of velocity energy in the club (slightly more speed in the head and much less in the grip end), but basically the club speed will be the same and the angular speed will be reduced to account for the increased swing radius.
This reduction in angular speed has a slowdown effect on the pivot. But since there's a real golfer holding the club with a lot of moving mass and a deliberate intent to maximise swing speed ... the response to this slow down will be linear force. You feel the load increase and do your best to carry it all the way through the ball.
The release works as a gear shift where the pivot is enabled to work the club in 2-3-4-5th gear instead of 1st gear all the way through.