Your insurance status is also in the state database that the police check.I didn’t realize it was a bad idea until I upgraded my truck and realized my glovebox don’t lock. I now keep a scanned copy of my Vehicle Registration and DL in my phone. GEICO already have a digital copy of your insurance that you can use.
I suggest you password protect those photos. That way if your phone were to be accessed by someone you trusted at the time or somehow a stranger, said information is not readily available. My suggestion may seem overkill to many here but, I believe it protecting yourself as best you can.