In the last example cited on cj's link, the force on the anchor (ceiling) would be 125 lbs so yes, it would be higher, but it is a sum, not a multilple.
Maybe the easiest way to explain this is that each rope that goes to the load (to a moving point) shares an equal portion of the load. In a z-drag, there are three ropes sharing the load - one goes to the rescuer's hand, the other two go to the ratchet/pulley on the anchor.
The total load is divided equally between those three, so the anchor holds only 2/3 of the load while the rescuer is hauling. When the rescuer releases his pull, the load is fully on the ratchet, and the anchor supports 100% of the climber's weight. Of course these loads are theoretical, and will be increased by friction.
Note in the first example on cj's link, that the anchor is actually taking 200lbs! That would be the classic redirected belay setup on a multipitch. In the second one it is taking 150... In each case the pulley to the right does nothing except change the direction of pull, and increase the load on the anchor...