Invariance of network uni-asymptotic classes under equi-parameter changes

Consider networks ${\cal N}_1$ and ${\cal N}_2$ of coupled quadratic nodes. They are in the same uni-asymptotic class when, for every uni-initial condition $z_0\in\mathbb{C}$, the corresponding multi-orbits iterate out of the escape disc at the same rate under both networks. Uni-asymptotic class invariance conjecture. Network uni-asymptotic classes are invariant under changes of the equi-parameter. This conjecture would make the uni-asymptotic classification depend on the network architecture rather than on the common node parameter; the supplied text does not state any proof or resolution.