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That test doesn't make a lot of sense to me. 9 provinces is not the average size of a dom3 'nation'. It doesn't factor in the difference in the early game. It isn't fair in that order 3 costs points whereas turmoil 3 luck 3 doesn't. It ignores a major disadvantage of luck turmoil (that it doesn't scale to large territories) and ignores a major advantage (that early gold event that lets you double your expansion rate).
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It tells me you haven't run the test. And try to refute facts with theoryminions.
I did run that test. What it tells me is that the average gold given with such as test rivals the gold gotten with order 3, and that you get a lot more gems too.
The link to the test is in the other thread about luck.