Causative link not established. The NYT is (probably) the world's most successful legacy-newspaper business for many other reasons too. For example, its historic reputation as the paper of record; network effects and digital first-mover advantage; and America's need for a locus of media opposition to a bossy government.
The Washington Post is a national paper of record as well and it's in a tailspin; newsletters, games, and recipes are huge business areas of the Times.