You are both right but talking about different things. WT can monitor what URLs are requested by any computers on their internal LAN - i.e. a brother goes from a WT PC to a porn site then WT can track it.
WT can track the incoming IP address of any request made onto jw.org but cannot find much info out as per the info above.
WT CANNOT track requests made to any other site. Your and my surfing to this site cannot be tracked unless we happened to be using a device connected to the WT LAN.