The bulletin only applies to Torque On-Demand (TOD) transfer cases, not trucks with part-time 4WD. The reason is that the drag from the Transfer Case clutch causes the front driveshaft, differential, and axles to rotate regardless of whether the IWEs are engaged, so leaving them engaged full time does not make a big difference.
On part time 4WD (ESOF) trucks, the transfer case is fully disengaged in 2WD, so the TSB directs how to properly diagnose and repair the system.
No dealer should be performing the TOD on Raptor, as stated in the bulletin. I suspect this is due to the Raptor’s unique transfer case and optional Torsen front differential.
OP should return to the dealer and have them diagnose the system properly following the Workshop Manual. They’re vacuum operated hubs, it’s not that complicated.