  It has been shown in our previous work that the incompressible and
irresistive Hall- and electron-magnetohydrodynamic (MHD) equations are illposed
on flat domains $M = \mathbb{R}^k \times \mathbb{T}^{3-k}$ for $0 \le k \le 2$.
The data and solutions therein were assumed to be independent of one
coordinate, which not only significantly simplifies the systems but also allows
for a large class of steady states. In this work, we remove the assumption of
independence and conclude strong illposedness for compactly supported data in
$\mathbb{R}^3$. This is achieved by constructing degenerating wave packets for
linearized systems around time-dependent axisymmetric magnetic fields. A few
main additional ingredients are: a more systematic application of the
generalized energy estimate, use of the Bogovski\v{i} operator, and a priori
estimates for axisymmetric solutions to the Hall- and electron-MHD systems.
