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A fin or a full keel isn't going to have much effect at anchor, I would say. At dock, yes.
My 33', 9,200 lbs. fin keeler draws four more inches of depth than my 41', 29,500 lbs. full keeler. I've actually made use of those four inches to clear into docks with a measured six feet of depth...I draw about 5 foot 8 as currently laden.
It's really apples and oranges in some respects, though. I think a strongly built longish fin with a skeg-hung rudder is near ideal, but it's not the most popular design in the "economy bracket", possibly because it makes the hull mold quite complex.