You're right, but people tend to have strong priors one way of the other, often unconsciously. This is one of those classic cases where people with strong, divergent priors will disagree more strongly after seeing the same evidence. So if you want to convince people you'll have to try harder than most to find common ground.
And that's why I'm not concerned with convincing anyone. The proof is in the pudding. If I'm right, I should be able to get results. If not, then my argument doesn't matter.