Hey guys - I think I've got it sussed out now
My original problem was that I had the RPM Sensor lead mixed in amongst the high-current leads to the Starter Motor and Fuel Pump. I couldn't get a decent start this way, and it was suggested to me that I was probably picking up stray RPM spikes from the high current wires.
I've now made sure all these wires were twitched together, then re-routed my RPM Sensor lead so that it was more or less out on it's own - well away from any other wiring. On my Turbine, all the leads are relatively short, so to get the RPM Sensor lead free of all the other wiring, I bought an 'extension' lead.
I've just been outside in the 'Dungeon', and rechecked everything again. The RPM Sensor extension lead that I bought has little tab on one side - just big enough to allow the RPM Sensor plug to go into the FADEC one pin too far to the left (there's *just* enough room in the FADEC socket to allow it to do this). So I flipped the connector over, and switched the other end as well so that the Brown wire on the RPM Sensor lead matched the White wire on the extension lead, and the White wire from that matched the Brown wire's pin in the FADEC.
Problem solved - I now have RPM readings again when I spun the Turbine up with the help of a little compressed air

and I double-checked that I get an EGT reading from the Thermocouple as well.
Now all I have to do is wait for my balanced battery charger to arrive so that I can get some more juice into the LiPo and hopefully a NOISY start
Thank you all for your input - there's always something new we can learn.
BJ