Notice that the NYT's new ad system has not been prompted by privacy-minded people who install privacy and ad-blocking plugins. NYT is concerned that coming changes to base browsers will make 3rd party tracking so ineffective for targeting ads that a homebrew solution relying on users checking off boxes that describe themselves will work better.
Given the rapacious ingenuity ad hucksters have shown in the past, I suspect 3rd party data collection will find a way to keep doing it's thing and, likely, become even more invasive, at least for a little while. However, the fact that some companies are finally jumping ship is significant. I've long maintained that the ad industry's war on user privacy was ultimately self-defeating. This might be the beginning of the end.