I have met many bargaining committee members at the NYT and they are all extremely sharp. The tech guild is well organized and I think the NYT management has much more to lose than the workforce in these negotiations.
Per the article, there are two main issues behind this strike: remote work and open bargaining.
We have a tentative contract agreement that we're voting on this week; it would guarantee remote work for devs for three years, and put caps on days in office for some workers who have on site job duties. The NYT is trying to avoid bargaining over remote work full stop by making unilateral changes before they bargaining a full contact (their legal obligation).
The other issue is open bargaining, which simply means that that union members can observe the bargaining sessions that will produce the agreement they will vote on. Without open bargaining, it's very difficult for members to be involved in improving proposals. Every single one of our bargaining sessions was open, and I can't imagine doing it any other way.
The NYT would prefer closed door meetings because it gives them opportunities them to drive a wedge between the workers who do the bargaining and their peers. Unfortunately, many unions have been cowed into accepting this employer demand, such that the NYT can present closed door bargaining as "typical".
[1]: http://code-cwa.org