An interesting read and video, thank you all for the info!
Watching the video there is only one wire burnt, the ground. On our 2017 Edge there is actually 2 wires side by side (2nd occupies the empty slot on video) that are burnt. Both the same color.
I am assuming they are both grounds, perhaps an attempt to upgrade a known issue at Ford?
Neither seats work in our car, heat or cool. Fuse is good.
Is the burnt connector the real issue? Not having good contact now?