With a 334xxx body number, that car was ordered and confirmed about a week prior to Warrens. At that time, there were 3.73 axles in stock and in production; last known axle build date is May 23.
My theory, Chevrolet declined to build it with JL8. There are no known big blocks built with JL8, not even the Indy track cars. The system was a compromise from the start since a Camaro is heavier than a Corvette. A big block just makes it worse. Could be they couldn't get the system to work properly, with not only the additional weight but more on the the front wheels. Certainly not worth the additional Engineering time.
Chevrolet=Racing? a book by Paul Van Valkenburg, has some good insight on JL8. It was developed in response to what they believed was severe brake fade with the production disc/drum system. Turned out it wasn't brake fade; when the system heated up under racing conditions, the resulting expansion in the system exceeded the hydraulic capacity at the front wheels. All they had to do was switch the brake lines at the master; the rear chamber had slightly more capacity than the front.