I'd be happy to pay. I don't because I object to the NYT privacy policy: "we gather ... a history of the pages you view ... We automatically combine this collected
log-information with other information we collect about you ... We have a legitimate interest in disclosing or transferring your personal information to a third party in the event of any reorganization, merger, sale, joint venture ...."
I'd pay double or triple their current price if they announced support for anonymous access backed by frictionless anonymous payment.