2004 Lincoln LS Hard start

When cold cranking, and it only happens when it is cold out, it cranks runs for 1 maybe 2 seconds and must be done again. Eventually it runs and when it finally does there is no problem. It is just as fast as always. Did a fuel pressure test and with the ignition to ON, you can hear the pump engage and the pressure goes to 35 but when the pump stops the pressure drops to zero immediately. I have been told pump is bad, check valve is bad, so I changed them, both. Fuel pump and jet pump entire assemblies. Once done it did the same thing. So I did a pressure check and still with the key turned to on, fuel pressure up to 30-35 and just as fast drop to zero. Just to check it, I sprayed a little starting fluid in the air box and it fired up but quit just as fast. After 44 turns of the key it fired up and ran just like it has been doing. Any ideas?