No, it doesn't
"Zero luck" would mean hitting your expectation exactly. For negative expectation bettors such as yourself, your statement is true, but if you were to play with an advantage and have "zero luck," then you would win. In fact, if you have an advantage, you could have some "bad luck" and still make money.
This simple principle is the very thing that keeps casinos in business. Please address that issue in your rebuttal, or don't bother responding.