  A pair $\langle G_0, G_1 \rangle$ of graphs admits a mutual witness proximity
drawing $\langle \Gamma_0, \Gamma_1 \rangle$ when: (i) $\Gamma_i$ represents
$G_i$, and (ii) there is an edge $(u,v)$ in $\Gamma_i$ if and only if there is
no vertex $w$ in $\Gamma_{1-i}$ that is ``too close'' to both $u$ and $v$
($i=0,1$). In this paper, we consider infinitely many definitions of closeness
by adopting the $\beta$-proximity rule for any $\beta \in [1,\infty]$ and study
pairs of isomorphic trees that admit a mutual witness $\beta$-proximity
drawing. Specifically, we show that every two isomorphic trees admit a mutual
witness $\beta$-proximity drawing for any $\beta \in [1,\infty]$. The
constructive technique can be made ``robust'': For some tree pairs we can
suitably prune linearly many leaves from one of the two trees and still retain
their mutual witness $\beta$-proximity drawability. Notably, in the special
case of isomorphic caterpillars and $\beta=1$, we construct linearly separable
mutual witness Gabriel drawings.
