The alternative to US control that we want of course isn't UN control. I would even go as far as to say that this article is attacking a strawman. What we object to is the "control" part of "the US controls the internet", not the "US" part.
If China, or Russia, or Australia, or France, or whatever other country was doing what the US is doing now, we'd object just as much. Or if the UN was in control. That's not the point. What we want when we object to US control isn't foreign control, it's no control.