Digital Parents risk (a) becoming too involved in their teen's online activity, or (b) remaining unaware of the digital dangers their child has and will be exposed to.
The "Big Mother" Effect is a play on George Orwell's term "Big Brother" that voices concerns of too much surveillance. It aligns monitoring children's online and mobile activities with snooping.
The term "Big Mother" has been used to critique digital parenting, usually comparing a child's online activity to their journal. If you wouldn't read one, why read the other?
Yes: "A helicopter hovers above, at a safe distance, with lots of insulating air between them. Cyberparents, on the other hand, are squished right up next to their offspring" - Dan Savage, quoted in "Cyberparenting and the Risk of T.M.I", New York Times
No: The digital era calls for more involved parenting with the internet and all its threats.