Happened to me too. Guy actually laughed at me when I refused a six-months-for-free-if-you-stay option. In that instant I committed to never giving the NYT another dime of my money.
Another one is the ACLU. Easy to start, damn near impossible to stop without just canceling your card. All I wanted to do is change to a different card, but they ignore me. Great way to ruin your reputation.