Full IP that is kept for 6 months can identify your device (computer, phone, etc) quite accurately
I think that's a bit too much, people will be paranoid
you can't possibly identify a device on TCP/IP level only , it's beyond the scope.
losing those last 8 bits is like going from an aprox longitude and latitude say (50-100 km radius) to just a city/state, now of course it all depends on your location and ISP, in some places you will be lucky to just get the country name right