The thing is you cannot even really tell if it does add anything to the game.
With how low some numbers are on this game you would need to run millions if not billions of tasks/tests before and after you get lucky/really lucky, why at the same time not increasing other profs so you do not change the end result.
The only real true way to know IF it does do something is to know what is written in the code of the game behind the skill, and/or trust the devs are telling the truth.
Know though, they devs never actually say that it does add XYZ or anything, they just say "It makes you more lucky", but of course it does.
