I don't care one way or the other if they use a paywall or not, but the characterization of the company as starting to charge for its "product" is ludicrous.
The New York Times is a newspaper company. Newspaper companies do not sell newspapers--those aren't the "products" that they charge for. Newspaper companies sell eyeballs. They use various techniques to attract readers, but most especially to attract subscribers. Then they sell the eyeballs of their subscribers to advertisers. That was the business model for newspapers that got them profit margins of over 20% in the 1970s and 80s.
Many internet sites essentially use the same business model. However, the profit margins aren't quite the same, and advertising can't keep up with expenses.
Making people pay to read or buy the newspaper has always just been a cost-defraying measure, not a profit-creation measure.