I'm a paying subscriber to NYT but if I click a link when I'm not logged in, this is what I get:

A screen that tries to offer me an introductory rate with a big subscribe now button and a small log in link. When I click log in,

A username form only - ie. no password form until I've submitted my username, which means I need to invoke my password manager twice. Then before I see the original article

A fullscreen modal wanting me to upgrade my subscription to get "All of the times" which includes News, Games, Cooking, Wirecutter and the Athletic (no pricing info), just a big Upgrade Now button or a small "continue without upgrading" link

before finally allowing me to access the article.