Hmm… AF1 should be somewhere over the ocean, now. That means connection via satellite relay integrated through "Looking Glass" - as it was called back when the concept for mobile C3 for POTUS was floated.
Though that doesn't exactly explain the trip. We've seen 4 device tests in the past, if memory serves correctly….
Private comms being important is interesting. Could relate to the idea that in the wake of a bunch of internet fuckery, it will be on us to relay to friends and family what is going on.