If it isn't tracting it isn't immobilizing.
Ask the inventor of the Halo rig. Or those infamous tongs, what were their names? Garner Wells.
Use a SAM splint to build a custom C collar. Following the instructions, try it a couple times in station, it can be surprisingly efficient, just make sure it is fastened properly with Coban or tape, and doesn't cock the head to one side...unless that is what you want. Radiolucent and reusable if they give it back, just flatten it with a rolling pin.
Reliance upon a C collar is like relying on a half-length condom, other measures must be taken. I still like the bivalved Philly collars, select the smallest size to work and pad. Better yet, leave the KED in place.
PS: C collars don't detach C1-C2, WE detach C1-C2. Well, us and severe deceleration forces. USAF, what kinds of cervical injuries do aircraft versus terrain produce?