Mr. Palmer also says..
"Continuous sparging, also known as fly sparging, usually results in the best yields. In continuous sparging, the wort is recirculated and drained until just under an inch of wort remains above the grain bed. The sparge water is then slowly added at the same rate as the wort is drained, such that you achieve a steady flow into and out of the grain bed. The idea is that the grain bed is never actually drained; instead, the wort is gradually exchanged with sparge water. The soluble extract yield is highly dependent on the uniformity of the fluid flow through the grain bed to ensure that every grist particle is fully rinsed."
This sounds more like our process.