Your theory is correct, but if you think the OEM calibrators left any efficiency on the table you're on drugs
If they've tuned for the lowest common fuel, there probably is a bit to be had if running on a better fuel. That's engine efficiency though, doesn't take the extra cost into account.
My Mk6 R is averaging about 5mpg (imperial) more on the commute with the same roads, same traffic and (unfortunately) same shit cold weather. Just with cam and ignition advance.