we're gonna monitor all of your family's devices, including people who are not charged with or suspected of a crime. if any of them do anything we don't like, we'll assume it's you and charge you
we acknowledge that requests to forbidden sites can be made without the user's knowledge or consent, but we're still going to throw you in jail over it
Imagine you're legally banned from driving a car. Let's even make the hypothetical situation a little bit more cut and dry than the real one from the article and assume you've actually been convicted of something and aren't just charged. This is the equivalent of saying "we're going to put monitoring devices in every car in your driveway, if any of them start up we'll get an alert. If we get an alert, we'll assume you're driving and come arrest you for violating the ban. We also get an alert if the alarm goes off and even if it's because an acorn fell on your car we're going to come and arrest you."
This is truly an amazing violation of the rights of several people. Welcome to the panopticon, you're never sure you're not being surveilled so you have to always act like someone could be watching.