I've had almost exactly the same issue for a couple of years now! So frustrating. I've also changed the fan pack, both sensors, all fuses are intact but i can get the fans to run full whack during output tests in VCDS.
My AC is not functioning at the mo, think there might be a leak in the system somewhere. Had it re-gassed at AKS a couple of years back and it was icey cold for 3/4 months. For a week or two after having the re-gas my cooling fans worked but not every time it got hot
Genuinely given up with it, just suffer with running the climate at full hot when ever stood in traffic for a period.
Toyed with just fitting a switch under the dash to turn the fans on.