  Given a log smooth scheme $(X,D)$, and a log \'etale modification
$(\tilde{X},\tilde{D}) \rightarrow (X,D)$, we relate the punctured
Gromov-Witten theory of $(\tilde{X},\tilde{D})$ to the punctured Gromov-Witten
theory of $(X,D)$, generalizing results of Abramovich and Wise in the
non-punctured setting in "Birational invariance in log Gromov-Witten Theory".
Using the main comparison results, we show a form of log \'etale invariance for
the logarithmic mirror algebras and canonical scattering diagrams constructed
in "Intrinsic Mirror Symmetry" and "The Canonical Wall Structure and Intrinsic
Mirror Symmetry" respectively.
