Personal experience and this has nothing to do with New York City but I can understand the article POV.
I recently moved to an island in Greece. The small town am living in, has the exact same issue that the article is describing, yet even worse.
Everyone, literally EVERYONE, has their apartments/houses/properties that they don't live in, turned into Airbnb's. Doesn't matter if its in the town center or 30 miles out of the town center. Government only just now sort of regulated airbnb renting. (Average rent per month is 300 euros. During the busy period which starts at April and ends November someone can make 100euros a day from that apartment)
Up to now the town I am living in and every single village in its radius, had a massive housing issue. You couldn't find anything to rent. I had an issue with renting as well, and I was well willing to pay way above the normal to get something as I do work for a foreign company that pays me the salary of a western country.
I don't know how much of this applies to New York and if the article is going the right way with it, but I can most definitely reflect my own experience to that article.
I think Airbnb and anything that is similar should get regulated. I think Airbnb came in at a time where laws/regulations weren't in place for such a thing, or were very light, and it made sense for people to rent out their 2nd homes for it.
Although it has created a massive issue with finding a home. As I mentioned above someone can make 3 times or more the money that he'd be making in a year of rent from 3-4 months of renting to airbnb.
Another massive issue that Airbnb and similar sites have also created in the area I live in is that the small hotel owners and family hotel owners are getting slowly out of business. That is happening because obviously the massive hotels can offer full packages and whatever and will always be profitable, but smaller ones still have to pay a lot of money on tax, licences and offer some sort of services that an airbnb owner didn't have to up until now in my area. Even now that its sort of regulated, airbnb owners are still going to have a better time than the small hotel owners.
So yes all in all, airbnb and similar sites, create a massive issue and I feel like something should be done about it.