OK, have removed the LHS coil from the machine. Diodes seem to be measuring correctly - ie no current flow one way, low resistance the other. I am not sure what the coil (Williams FL11630) should be measuring as there are two windings: one internet page says main winding should be 4R7, but doesn't give a reading for the secondary. Mine reads 5R5 and 163R respectively. Is this within tolerance?
By the way, there is no problem with the sleeve on this one as far as I can tell.
I must of missed this update...
I guess you could check the resistance by temporarily removing the other coil wires and measuring the resistance of the coil as a direct comparison.