This is what I thought as well. 100 feet is about the proximity for a open doors button on the remote.I'm thinking there is something wrong with your remote, like the button to unlock the doors is being activated all the time. Put that remote away and get out the spare one that came with your Jeep and see if it still does it.
So this was as you were walking AWAY? That sounds like it may have nothing to do with the distance- rather, it was probably on a timer. Start far away and walk TOWARD the Jeep. Does it activate at the same distance?I started at the jeep and counted my foot steps as I walked away...close to 100 before lights shut off and remote stopped working...reason I want to disable is I think it will eventually kill my battery,,,any one know how to stop this feature.