Armed F16 Supersonic Intercept of Unresponsive Cessna
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At Mach 0.755 with supersonic barrier being at Mach 1.0, it becomes obvious why it had to be a supersonic intercept.
430 knots is about Mach 0.75 at the Citation’s cruising altitude of 45,000 ft.
https://en.m.wikipedia.org/wiki/1999_South_Dakota_Learjet_cr...
Edit: and even if everything is 'good' the unconscious pilot's body can brush against the stick (bump from turbulence eg) and force autopilot to disengage (or it was already disengaged by itself by being not able to correct the plane course) and push (quite literally) the plane to the downward spiral.
I do think you might have a point about the body causing a disengagement.
Aircraft isn't inherently stable in a level flight, otherwise there would be no need for autopilot. There are constant small corrections.
And when the engines dies the plane starts to drop the nose but not with an exactly 0 degree roll, because nor the weight is distributed ideally nor the atmosphere is an ideal gas. And while I don't know how far the plane should be out of the flight parameters for the AP to disengage, you should remember what it is still tries to correct the plane (while not yet disengaged) but the dwindling engine power (and hence airspeed) make the control surfaces less effective, so now the AP needs to over-correct and this how you end with rudder and elevators stuck in weird positions and sending the plane anywhere but the stable gliding path.
Though in this case it's less probable becaue looks like the engines were still working, if I understood some sources right.
The F-16 is a pretty small jet, comparatively. I wonder how different other jets would be.