My Chica does not like the SQUEEZE of the jacket BCD she has tried.
If you have a jacket all battened down for underwater use, surface and fully inflate it, it does feel a bit constricting. I never liked that feeling either. You can of course loosen it up or have it less inflated, but it just reduces the problem doesn't remove it.
But which one is SAFER? They should both be safe as far as keeping you afloat or for helping with bouyancy. I will differ with previous poster, come kelp-diving with me sometime. 20+ lbs of lead is not something you are going to compensate for with your lungs. At depth around here most anyone's BCD is half or more inflated. I use a perhaps undersized wing so mine is nearly fully inflated past 50 feet.