In some select cases it can help with some select problems, but it is not objectively "good for you" nor "healthy." In fact, the study in question found that too much standing is in fact "bad for you"!
It really is a commonly held belief that standing desks are "healthier" than non-standing desks. Perhaps you don't value knowledge of this sort, but I certainly do.
You can sit at a standing desk. Even if it's not a mechanical one, you can sit in a taller chair. You don't have to stand all day.
You can't stand up at a sitting desk unless you get a Varidesk or something. But then you have a standing desk.
You even say yourself that a standing desk can help with some select problems. What select problems does a sitting desk solve that can't be solved by sitting at a standing desk? If one helps with some problems, and one doesn't, which is the better option?
And let's not downplay the "select" problems that it helps with. Mainly back pain, nerve problems and posture issues. These are not small, trivial problems for a lot of people.
The only point that I could get out of it, is that standing is not exercise. I don't know anybody who bought a standing desk thinking they are getting exercise...