I think there is a software glitch on those Connects somewhere.
Son in law has come out twice to a van with a dead battery - replaced first battery and jumped it second time - no problem since.
I know they use the ecu to control the internal cabin light delay which sometimes switches the lights back on after you have gone. I understand they have a software update to sort this on early Connects, but still charge for the update.
The other problem is the cable from the alternator to the battery. For some reason it has taken Ford a long time to sort the insulation problem that effected the wiring running under the battery tray. The insulation breaks down and leave the wires bare in places. Damp conditions can create a small current leak to earth and flatten the battery.
Ford parts know the part no for the replacement harness off by heart, but its a bit of a pain to fit it I'm told.