You know, I regularly lose or forget my baseball caps (at least once per Summer, and usually I go through 2 or 3). I wish there was a nationally-mandated register of headwear, with obligatory chipping at the points of sale. Not even entirely joking.
On a more serious note, it's interesting to note that some property never gets any ownership marks on it, some gets it customarily but only out of convenience, there is no legal obligation to do so, and for some property it is legally-mandated by the state but owners largely find it cumbersome.
For maybe 100 years, we’ve lived in an era of diminished hat importance. I, for one, don’t want to be caught hatless around any sharp-tongued re-enactors.