I wouldn't think so. I think that would be a lot like owning a used car. You don't know all the places it went before you owned it, all you know is that it's yours now and the places you've taken it. You should be fine.
What i'm wondering is why they just don't start filtering the MAC addresses instead of trying to track everything (We use this at my home, so even if you have the WiFi password, you can't get in unless your device's MAC address is white-listed).