Churchill's method is okay for close stuff, not so good for longer shots. I once took a shooting lesson from Bill Kempfer who owned (owns?) Deep River, where the Southern Spring Classic is held each April.
He taught something similar. Shoot right at it, he said. He asked me, after a few stations, what I thought about it. I replied that I didn't think it would work on a long crosser. We got to one and he admitted "Cheat a bit on this one and lead it." I knew right then that, as he taught, the lead was built into the mount.
You cannot revise physics. You can cheat on it, but you can't change it.