Kirby,
I suspect your doubt the 6F tranny in the Edge/MKx has an adaptive feature is accurate. But, I have noticed a change in the shifting since I bought it Certified used last week (at 12,020 miles). In the 1,000 miles I've driven it, the trans doesn't hunt nearly as much now as it did when I 1st got it. Some of this, I'm sure, is because I've learned a bit about the shift patterns. Also, as is usual, it gets considerably better MPG by foot rather than when using cruise-control (27.5 vs. 25.2); probably because Humans can be more gentle on the pedal and anticipate hills whereas the cruise-control is reactionary; which will cause more frequent down-shifting.
The ability to make the trans shift down when out of O/D is nice (have you noticed this)? But, I would have much preferred the ability to actively select gears simply by tapping the shifter like with Hyundai, Toyota and Jeep transmissions. There's certainly enough room on the information center to indicate which gear the trans is in. All my other Fords at least had a #2 position.
Having had 9 Ford vehicles in the 20 years Ford's been serious about quality ("Quality is Job 1"), I am pleased with the Edge as well. I traded a 2004 Navigator in on it and aside from a few relatively unimportant features (to me), the Edge SEL has it beat.
Good job, Ford.
Now fix the transmission.