I’m all for adult monitoring, not electronic monitoring. If a computer is in the room, it’s at a desk and the door is open. You can look at the traffic patterns of the child but no blocking. At 12, our children did their schoolwork at their desk in the kitchen. It wasn’t until high school that they could move into their room. My approach was always, provide grades to keep freedom. Don’t provide grades and you’re back at the kitchen desk.
I look at moving as an opportunity to do it better. When I put in my APs, the U6 LRs were the best. I’d do it differently now, so I definitely would leave them. Offer them a $500 buyout option for the network as it sits and walk away if you don’t want to just give it away. Generally, when selling a house though, the networking is trivial in the amounts of $s involved that I’d just let it go.