The only 'issues' I've had with my G's (one coupe, one convertible) had to do with the little piston inside the round choke chamber that is responsible for 'choke pull off' after cold start.
Seems like either not enough vacuum to pull choke back off of initial start position to keep the car from running too rich after it starts, or the piston is not tight enough in the bore any longer and vacuum slips by without pulling the piston back against the spring tension of the choke? I've done the naughty thing of messing with the adjustment of the bi-metallic spring to try and have the cold tension just enough to close the choke without it 'snapping' shut, hoping to reduce the force the little piston has to pull against, but that really hasn't helped much.
That being said, car starts on fast idle (but doesn't drop down fast/soon enough for my liking), and after about a 30 second wait I can drive off without worrying about hesitation or stalling. Once warmed up and back down to curb idle, no hesitation at all in normal driving. If I adjust things to make it come off of fast idle sooner, I do get the hesitation/feathering issue until the car has been running a few minutes, so I leave it the other way and just compensate by having my initial 'fast idle' set a few rpm lower than it probably should be by the book to minimize the initial shock into reverse when backing out of the garage.
Someone told me decades ago (I think a local transmission guy in MA) that Chrysler transmissions got a bad reputation for the reverse band breaking, when it was really caused by owners failing to 'blip' the carb down off of fast idle cam before engaging reverse to back out of the garage or driveway when cold, thus putting more stress on the band as well as the u-joints.
The 61 NYer limo I bought from Neil Freeman in Whitehall, MT had a broken reverse band, which made for an interesting ride back to MA with no reverse. Being an 8 door limo of around 24+ feet in length, I wasn't doing much backing up anyway, and had 2 friends with me so we could push backwards if/when necessary. Ah, youthful exuberance!
I had one other issue with my G coupe that I could never understand and would love to have someone explain. Never had any starting/stalling issue with my G coupe, but it did have a slight leak at the rear main seal. Drove the car up to Rinaldi's in Maine to have it fixed. Being high performance engine builders, Dominic was dead set against heavy oils like 20W50 (maybe even 10W40) as it 'robbed horsepower'. After replacement of the rear main seal, he installed some kind of very low viscosity/low friction oil in the engine. Once I got home, every time I would cold start the car it would start right up, but stall as soon as I put it in gear until/unless I let it warm up first. Almost like a vacuum leak or 'no torque' situation like John described. After a few days of this, I got mad at the car and changed the oil back to 20W50 and the problem went away and the car went back to normal. I found it impossible to figure out why the viscosity of oil would cause the cold stalling issue, even to this day.
Any ideas?