Hmmm, never knew it was ok to have reg & ins with address removed but if vehicle is stolen while at your home, they’d still know your address and think the key may work for your door.
I guess I should try that — making copies of reg & insurance with no address. People have broken into our cars in the past. I had a key that was stolen from my car but it wasn’t for our house (it was for my mom’s in a different neighborhood with no address).