Burbank is a controlled airfield therefore it sounds like another ATC problem.
Because of the vertical separation cited I am wondering if the tower told the Cessna to go around. I've had that happen to me before when the controller messes up their estimate of where the traffic on an intersecting runway will coincide. When it's happened to me ATC usually lets me know soon after I'm established on final - before I get within a couple hundred feed of the ground.