That's exactly what I said in the comment that you replied to: "Also, even if they didn't restore the broadband at the guy's apartment, couldn't they just take

That's exactly what I said in the comment that you replied to: "Also, even if they didn't restore the broadband at the guy's apartment, couldn't they just take the router and plug it in back at the station, since the login credentials have already been established?" However, the sibling comment below my original asserts that iOS won't re-connect to WiFi after booting until the pin has been entered (and thus no backup will occur). If that's true, and if the phone had been powered down at any point, then retrieving the router isn't a viable solution anyway.