Not heard of anyone trying to get one to work on a relatively small road car engine.
From what I know of axial turbochargers they are typically used in large industrial diesel or heavy fuel engines that run at constant RPM's like ship engines or electricity production units on heavy mining machinery. Man Diesel, Cummins, Mitsubishi etc who all built large ship diesels have used/are using them.
As they are much larger (heavier) than the small radial flow chargers they are significantly slower to spin up, they have very poor response characteristics. However once spinning they are very efficient containing multiple "stator" stages to give greater pressures and flow.
For use on a smaller engine like a road car, as they are so slow in transient response times, you would need to keep them spinning so that you always had close to or absolute maximum boost pressure and then regulate the produced pressure flow through bleeding it off prior to the plenum/throttle/manifold. You still have the packaging and efficiency considerations of mounting it up and getting the engine exhaust to drive it without placing a huge parasitic loss on the engine through pumping losses.
Never approach a Bull from the front, a Horse from the back, or an Idiot from any direction