If its like the reset we have on SF4 when the networks get deleted but the plugs/points/controllers/storage remember which slot they were on after the reset. If another player creates a network in the slot you had before you change network of the old week's plugs/points/controllers/storage they will default to what ever is on that slot. However I have ownership if I placed the plugs/points/controllers/storage. So you aren't locked out. The new network owner can remotely disconnect as long as the plugs/points/controllers/storage is chunk loaded.
Lets use mine and Royal's networks before the wipe.
Week 1
I have Walter in slot 1
Royal has Neocity in slot 2
Week 2
Royal has slot 1
I have slot 2
If I didn't change my plugs/points/controllers/storage they would show Neocity. I can recreate Walter, access them, and change them to Walter. After this Royal would have no control on them.