Yeah it can be a right pain getting all the passages clean. The thing to remember is that you have to clean more than just the pilot fuel jet in the bowl. The idle circuit is the pilot air jet, the pilot fuel jet, the transfer ports and the mixture screw port. This diagram shows it well
At idle the butterfly valve is closed so air is drawn in through the pilot air jet (PAJ in the diagram), the air then goes to the holes in the side of the pilot fuel jet (PJ). Fuel is drawn up through the centre of the pilot fuel jet and mixes with the air from the pilot air jet. It then comes out the transfer ports just after the butterfly valve and also comes out the port at the mixture screw. So all of those passages need to be clear. If you just clean the pilot fuel jet in the bowl and don't clean the pilot air jet, transfer ports and idle screw port you can still have problems.
Can you explain your understanding of the idle circuit?
What is the function of the transfer ports?
I did some googling which indicated that the TP come into play when the TBF is just opened so if I am getting no firing when on idle on 3 it must be a blockage in the tube to the MS rather than the TP.
Also, sorry about all the questions, but what is your understanding of the Choke plunger? A choke used to be another butterfly which was closed off to choke air supply to the carburettor to enrich the mixture. One reply above says the choke is a completely separate circuit. If so where does it get the fuel from?