Brian,
Nicely done, airflow / pressures / combustion cooling in turbo-fan engines can be baffling to some who are used to re-cip engine power. you wrote a nice concise description.
the program did say he was planning on a axial flow multi-stage compressor, one picture showed what appeared to be "can - annular" combustors, so he was basically headed down the same path we ended up on 'ala JT-3, Early GE's , JT-8, etc. Add the afterburner( if they could make one that could handle the heat/stress) and you have the early military jets, fast, loud, and sucking gas!
I think if he had gotten funding for the engine - the metal and processes available would have taken a lot of advancement and research to make it servicable- same issue the Germans had- shot time on wing and numerous failures. still an enjoyable show- anything with Kelly Johnson involved is worth looking at.