  Thermalization and its breakdown in isolated systems has led to a deeper
understanding of non-equilibrium quantum states and their dependence on initial
conditions. This is prominently highlighted by the existence of quantum scars,
special athermal states with an underlying effective superspin structure,
embedded in an otherwise chaotic many-body spectrum. Spin $XXZ$ models and
their variants in one and higher dimension have been shown to host exact
quantum scars, exhibiting perfect revivals of spin helix states that are
realizable in synthetic and condensed matter systems. Motivated by these
advances, we propose experimentally accessible local, time-dependent protocols
to explore the spatial thermalization profile and highlight how different parts
of the system thermalize and affect the fate of the superspin. We identify
distinct parametric regimes for the ferromagnetic ($X$-polarized) initial state
based on the interplay between the driven spin and the rest, including local
athermal behavior where the driven spin effectively decouples, acting like a
"cold" spot while being instrumental in heating up the other spins. We develop
a real and Floquet space picture that explains our numerical observations, and
make predictions that can be tested in various experimental setups.
