A well tuned 12V almost always fires on the first piston up. Its the way they work with a jerk pump.
The CR is a different beasty. Injectors are not fired by pressure they are fired electronically by the ECU. In order for that to happen the ECU needs to know where in the cycle each cylinder and cam shft lobe is, and what the rail pressure is. All things being good, it takes several revolutions to synch the crank and cam sensor to find TDC on the cylinders and build the required 3000 psi of rail pressure to start the injection event. Usually its the 3rd or 4th piston up that fires first.
Knowing that, you can see where there are multiple areas that can cause a slow start, crank sensor, cam sensor, rail pressure via CP-3 or LP and injectors. The injectors return fuel constantly for cooling so if the rail pressure does not build fast enough, no fire. If the crank\cam sensros do not synch immeditely, no fire. It will default fire off the crank sensor if the cam sensor does not synch but that means a long crank, anywhere from 5-8 seconds.
My truck has lways fired on a slow 2-3 count (1001, 1002, 1003) and is running by 3. I have seen others it is a 4-5 count and they have always been that way since new. Generally a slow 3-5 count is normal. Longer than that could mean issues.
Manual trucks seem to consistently take longer. Not sure why but they do. The auto trucks are usually the fastest starting.
Hope that helps give you a a starting point for the differences.
