Chokes and patterns are a very fluid thing. Hard shot tightens up a pattern, larger shot can as well. Higher velocity has a general opening effect by one of my doubles got better the faster the load until about 1275fps, at which point I stopped because recoil was not very pleasant. Ten different loads might give you patterns from one end of the spectrum to the other. Test to find out for sure.
When lead shot was OK for ducks and geese I loaded and tested a lot of buffered and non buffered loads and found a lot of great loads to use. None of them much use these days but one thing I took away from it was that inside 25 yards I could kill any geese or duck with a Skeet gun with almost certainty with the right load. A combination of I/C or Skeet and Full would be a very versatile double on the marsh. In fact my first duck gun was a 28 Ga. Model 12 with a tight Skeet choke. I killed just over 50% of the ducks I shot with it the first year. All with a 1 ounce load of number 6's out of a blind on our creek. Most shots were 20 yards and I had eyes of youth and reflexes of a young teenager. At least I still have the gun.
To assume any set number of constrictions will give you a certain pattern is just useless to me. If you want to know shoot patterns. Change loads and see what happens. You might find a load that you love or find it makes very little difference. I do know some loads which looked great on paper never killed game in they way I expected. I figured it was either operator error or the shot string was very long and a large part of the pattern missed the target. More likely operator error.