Learmonth/Exmouth is pretty much the same thing, about a 40 min drive between the town and Airport. Exmouth does have a small strip there for landing but obviously you can land jets there. so the pax and crew will have to be treated in Exmouth or by RAAF/Army staff based at Learmonth.
When people fly to Exmouth you fly into Learmonth.
Certainly sounds like there's more to it......inflight incident etc sounds a bit strange to say the least and makes you wonder what's not being said.