Sony RX100 lll or Lumix GM1?

After I post my user experience on the little Sony RX100 lll, I know the inevitable question will come..

Sure enough, friends wanted to know was the Sony BETTER than my favorite Lumix GM1 and which one do I prefer, the Sony or Lumix?

The Sony RX100 lll, left and Lumix GM1 with the 12-32 kit zoom. Both cameras are "off" and with their lens retracted.

Before I give you my answer, let me just get the following out of the way...