Positive static stability on display. No changes from the missing tail assembly (rudder, elevator) and the yoke is not being manipulated the plane would dive straight down. No elevator to cause any change in lift, no rudder to cause any change in direction.
One would think the plane might be spiraling due to the engines still likely producing thrust.
I think the APU is in the tail, and the 800 is fully fly-by-wire so if somehow the tail is blown clean off, somehow, and all power controls are frozen I suppose it might be possible. Still doesn’t seem likely.