“We do have some good longitudinal data following the same people over time, but I am going to do a massive disservice to that science and just say: if you’re a man, you should probably get married; if you’re a woman, don’t bother.”

Obviously this guy is speaking off the cuff. And the article is light on detail and doesn't reference any studies.

Study from 2017 that makes the opposite claim:

https://link.springer.com/article/10.1007/s10902-017-9941-3

Using data from the British Household Panel Survey, we control individual pre-marital well-being levels and find that the married are still more satisfied, suggesting a causal effect at all stages of the marriage, from pre-nuptual bliss to marriages of long-duration.

A brief APA article describes possible marital bliss confounders:

https://www.apa.org/monitor/2010/10/marriage

In short: marriage qua marriage won't make anyone happy; children reduce reduce happiness; economic insecurity causes unhappiness.