Nope. It's important to use the right word in this case for 2 reasons. First is the trivial semantic one you've perceived; addiction has a definition and things like physiological withdrawl symptoms don't exist for behavioral disorders. They aren't addictions.

The second, more important, is that even if we rename it properly to "internet disorder" there's still not significant evidence for making it a behavioral disorder. This is backed up by the lack of inclusion in the DSMV updates and ICD10 updates or 11 just released. People have certainly tried to have these things included: their income depended upon it. But the science rejected it.

You could also make the same correlations between autism spectrum disorder and the rise of popular (ie, non-usenet, irc, etc) social networks online. But it obviously wasn't caused by it. It was caused by a better identification of the phenotype and more accessible treatment. I think the claimed and unverifiable "increase in bad mental health/etc/etc in teens" is much of the same.