I want to have a right to know how much money was paid for my clicks and views. At the very least, I should have access to all data regarding my clicks and views and have the right to ask that to be removed completely or for a date range.
I'm not sure we're entitled to that right as a user. The NYT is providing us content in exchange for analytics on how we use their site or respond to their advertising. As a user we're free to not buy what they're selling.
What the NYT is offering is no different than what Facebook or Google is offering. You're paying with your personal information to consume their service. If you don't like the terms, then you're free to simply not use their service. I believe that's fair.
Why are we entitled otherwise?