No, Death Wobble as the OP is asking about has nothing to do with Bump Steer. They are two completely different problems. Death Wobble is when the entire front-end of the Jeep goes into convulsions which is a harmonic oscillation of the front end that can be triggered by anything from a bump in the road to an out of balance tire. Bump steer is when the steering is forced left/right in sync with when the axle moves up/down.
For Death Wobble, it's normally a combination of a triggering event like a bump in the road or an out of balance tire to start the cycle towards Death Wobble, and then something else is usually loose enough to allow it to fully develop into full-blown DW. And for those who have not experienced Death Wobble, it is violent (!!!) beyond what you can imagine. Fully developed DW cannot be driven out of, you can only pull over and slow down to either a full stop or nearly to a full stop until it dampens itself out. It will blur your vision and shake your teeth and is such an obvious out-of-control condition that other drivers can't help but notice will move out of your way. It's not something anyone who has experienced true fully developed DW will ever forget. It's VIOLENT!!!
Two common causes that combine together to cause DW are an out of balance tire coupled with something loose in the front end, typically the passenger-side of the track bar mount, or perhaps a bad ball joint or control arm bushing. So as first steps, I would have the tires very carefully balanced, check the passenger-side of the track bar mount for any looseness (it cannot move side-to-side AT ALL!!) and tighten its passenger-side mounting bolt for good measure (45 ft-lbs), and insure the toe-in is correct. Doing those three things should help. If not, there are more things that can be checked.