Ok, well I never timed the delay so my remark of the 30 sec delay may be off the mark...I'm guessing the delay is A) trans dropping into appropriate gear and B) DOD getting back into v8 mode.....all of which takes time...
the G8 never idles in v-4 mode. I think you need to be moving and doing a certain speed/RPM for the engine to go into v-4 mode.
AS for the harsh idle, no fix as of yet, many g8 owners are coping with it now.
But, just an FYI, I did enable the DOD today. Was getting some really bad MPG's ! But then again, I was hauling 80-100mph! lol