One of the very first things the article states is that this is not for people who are not living in the home as their primary residence.
Which makes it disingenuous to the initial headline.
> Renting Is Throwing Money Away Right?
Yes. Given a choice, you always want to own (or at least be building equity). That's the nature of the phrase in the headline. Having money act as an investment (growing/working) for you is preferable to not.