Engine needs fuel, air, compression, well timed spark to run.
Take away any one of those and no joy.
Chinese cdi boxes fire from a trigger coil that senses a rotating magnet , if it's functional it should fire, it may not run great at high rpm...
So you've added fuel directly to the cylinder and it still didn't fire with good spark?
Plug was dry, not wet, not fouled?
What do you have for compression?
Sounds like an engine rebuild is in your future. (K700 saw with custom decompression slot for reference)