Crank sensor it is then 
I hope you are right. Al. I have changed five in the past, it is a simple job, However, my memory is that when a V6 Omega refuses to start, but cranks vigorously, the first thing I check is fuel feed by loosening the feed hose and cranking. If fuel spurts out, the fault lies elsewhere, almost certainly crank position sensor. In this case, fuel did not spurt out. So I suspect fuel feed failure.
Senators were devils to start in the winter if they had more than five days without use. The distributor right at the front behind the cheese grater grill got damp, then it would either not start at all, or start on two or three, and take quite a long run to dry everything out. Omegas are much better, with coil packs at the rear of the engine and no distributors.
I will keep in touch. I shall check there are 12 volts to the pump when cranking, if there are not I shall bring 12 volts to it. If there are 12 volts to it and it pumps, then it must be crank sensor.
I have not checked for spark at plug. I suppose I could take a lead off, put a spare plug in it, lay it on the head and crank engine. No spark would confirm crank sensor fault. Spark would suggest dead pump.
Any thoughts?