I suspect the conflation occurrs because most people don't want to bear thinking about specifics, and stop at "abuse". This is understandable, but distinctions are important when analyzing any problem. For example, the idea that grabbing the perps from the story means there are fewer kidnappers is highly wishful thinking.
Details are necessary to develop appropriate solutions. The behavior in the article is something that legal enforcement likely cannot curb, like "speeding" 10mph over. The perps are certainly problematic and guilty of something, but their quantity/fan-in is too great at Internet scale. The only solution I can see working is curated whitelist-only environments, the same way you drop kids off at a purpose-tailored daycare rather than a downtown alley or a prison.
Details are also important for making sure that the "kid-safe" solutions are appropriately targeted so they don't end up leaking to wider society. Anonymity in general is important for a whole host of marginalized peoples, and there are many interests that wish to erode it for their own nefarious ends.