I don't think it's a matter of "seeing" it as a game. It is a game, in that definition. (As opposed to the "things done for entertainment" definition.)

It's a good thing to look at relationships and coupling as a "game" because too often we treat finding our partner as a "fairy tale" story where it's just a matter of "meeting the right person". That myth does a disservice to everyone: both the couples who find someone but then need to work on the relationship, and the people who have unrealistic expectations and end up alone.

Also, even if it doesn't inform individual choices, it's useful for looking at things in terms of broad demographic trends. If the article is right, it means there's a potential demographic shift coming of fewer children, fewer people with supporting family structure, etc. Understanding the dynamics behind that can be important for planning a society's future.