Most likely has to do with confusing cause-and-effect.
It could be just as well that highly methylated babies cry more and could be more demanding or parents with highly methylated babies are themselves less tolerant to crying thus end up handling babies more.
The problem, they way it is being reported, and they way it lines up with pseudo-scientific mumbo-jumbo groupthink makes it stink. That's why it is newsworthy. People want to believe that handling a baby will change their DNA.
Same bullshit like papers like this:
- Scientists Say They’ve Found a Code Beyond Genetics in DNA - https://www.nytimes.com/2006/07/25/science/25dna.html