Mine does the same thing.
Right after a stop, sometimes it will get a little rough on the idle, then after a few seconds it smoothens out. I notice it more now with the bigger injectors, but its not bad.
It feels like a gas motor when the timing chain gets loose, and cant hold a constant time anymore, and idles rough.
Installing the FASS seemed to help (a little).
30k miles ago, it idled totally steady, and the tach didnt move. Not any more.
Been a long time since theres been any additive run through the tank, maybe that will help some, but I suspect maybe its a sensor, the VP is starting to wear, or maybe a leaky injector tube.
Will try an oil analysis to check for fuel contamination.
It could be air in the lines, because thinking about it, mine does it after a startup as well. But FP is a solid 15 psi even under load.
Again, its not bad but same here, it bugs the heck out of ya.