Well, I'm not a representative sample of the general public, but for me NYT's paywall is mostly about the hassle, not the money. I totally won't mind losing 10¢ on an article that was not worth reading, as long as getting to the content was just one paid click, without a monthly subscription or entering details.
What I'd like is a PayPal one-click payment sort of system for that, with limitation of e.g. 50¢ per transaction without authentication (with limits per hour and per domain, etc, preventing money-bleeding exploits).
A huge selling point for me would be an ability to come to a previously unvisited site supporting this system and pay with one click.
The thing is that I don't browse media sites from their home pages, I mostly follow links found in social media. This gives the links some level of trust, because I can assess the poster's credibility before clicking the link.