Yes, but one of the points of running an ad blocker is to avoid sending any information about you to third-party trackers, clicking on every ad nullifies this,

Yes, but one of the points of running an ad blocker is to avoid sending any information about you to third-party trackers, clicking on every ad nullifies this, even when blocking the third-party cookies. And as I said I don't think that it will make their databases less accurate, as it's often easy to separate false clicks from real ones (due to different engagement rates and requests).