Surely the first job would be changing the barrel on the lock and de-activating any fobs?Do you think though that the average opportunist scrote who pinched a handbag for another quick fix would then travel to your home address and risk getting caught knowing that its only a matter of time before the bag theft is discovered/reported?
Guess that depends on the scrotes in the area you are living in and how opportunitst they really are...
Its not unheard of for said scrotes to call the owner of the property a few days later pretending to be the police and asking the victim to go to the station to collect belongings they have found... only to find out once at the station that no such call was placed by the police... They then return home to find the house ransacked...
Lots of if's and but's but I don't see a bunch of stolen key any different to a bunch of stolen keys with a fob attached.