I don't know what the resolution is going to be, but I was able to figure out what the root cause of the problem is for so many of us who want factory trailer brakes but can't seem to make the factory parts work.
There is is brown/white wire that leaves the 4 pin trailer brake switch. This wire is the LIN communication (similar to CAN BUS) wire that tells the trailer brake module how the switch is being manipulated (more/less gain or manual application of trailer brake). The first connector is straight behind the switch and brown/white goes in and comes out. From there, it goes over to the passengers outer footwell into another connector. Brown/white goes into the connector but doesn't come out the other side. From there, it is supposed to go back over to the drivers outer footwell and connect to the LIN terminal on the trailer brake module. That pin cavity is empty, too.
During my diagnosis, i added a jumper wire from the switch LIN terminal to the module LIN terminal and everything worked as expected.
Since I'd already had it to Ford after my simple parts (module, switch and harness) install didn't work, and they couldn't figure it out, i don't have much hope for any positive outcome from them now. I did let the service manager know that the truck came with the HD tow package, and the only wiring diagram available shows the brown/white wire in all configurations, but is absent in my harness, so it shouldn't be my responsibility to add an extra wire. We'll see what they want to do.
I will also disclose that I had to get creative with the programming/configuration of the new module. I found a 2022 expedition with a factory installed trailer brake controller, used it's VIN to get the AS-BUILT data from Ford Service online and manually input the trailer brake module data into FORSCAN.
I wanted trailer brakes for one trip we took pulling two motorcycles in a 16' enclosed trailer right after we purchased the EXPY. The trip came up urgently, and I covered about 700 miles rounding up the parts. Spending another ten hours or so trying to make it work only angered me more when it didn't. After the trip, i chose not to think about it, mostly because i didn't want to get any more angry. Ten months later, i decided to dig my heels in and figure it out.
I'll give you an update when i hear back from Ford.
Rob