I have 3 cars with the 3800, a LeSabre, a supercharged Regal and a Bonneville. All have gotten synthetic oil since I bought them years ago and none of the leaks have gotten any worse. They are all seeping from the front seal which is common I think. But really didn't develop any new leaks or any increased consumption. I have used all brands (whatever is on sale or in my stash) including mixtures of thick and thin oils to reach a good final viscosity.
What I would recommend is using a high mileage oil because it can help condition seals if they are in bad shape. While it may not help anything, it won't hurt anything either. But I can tell you that the engines don't mind a synthetic. It has been said before that these engines prefer clean oil over high quality oil. If you are planning to go synthetic to go very long intervals, this is probably not the engine to do it with. I usually go by the oil monitor since my cars have it or 7,500 miles. Often times it hasn't asked for a change yet when I do the oil change.