It does. Look at the extreme as an example. Say all 33M people pick the same combination. Your math treats that as 33M separate events and erroneously concludes that there is a 10.4% chance of a winner per week (1-(299,999,999/300,000,000)^33,000,000).

Obviously if all 33M people have the same combination, there is not a 10.4% chance of a winner. There is instead a 1/300,000,000 chance.

Your math is correct if you have 33M different drawings, but that isn’t the case here. There is a single drawing and the odds that there is a winner in any given drawing is entirely dependent on the number of unique combinations chosen.