Hi Abarth,
From the perculiar symptoms you have explained, if it were me, I'd be having a good look at your CDI unit, purely from the fact that it will not start until the engine completely stops (and therefore losing its voltage input). The coil replacement is not a bad idea, I agree with FE350 in principal. Combustion pressure under load will create a resistance for your spark, and electrical charge always takes the easiest path to ground, although I would expect it to 'miss' and not necessarily cut out.
FWIW and with all respect to everyone else's thoughts, I don't think it has anything to do with your valves, nor the fuel supply as you say it is intermittent? If it was valves, it would be hard to start period. If fuel had a blockage, surely it wouldn't fire straight up again now would it? A blocked exhaust will 'choke' the engine and it won't rev out.
Anyway, hope this gives you another angle to think about it.
Good luck
Damo