I had never heard that Jack recommended Pete become involved, and not the other way around.
But, it makes sense. Pete did tell me that the routing had actually been done by George Cobb, a couple of years before he got involved, as part of the master plan for Sea Pines Plantation. But it makes more sense for them to have switched designers after talking to Jack, than to have done it on their own, and then get Jack involved, on top of that.