  We exhibit non-unique Leray solutions of the forced Navier-Stokes equations
with hypodissipation in two dimensions. Unlike the solutions constructed in
\cite{albritton2021non}, the solutions we construct live at a supercritical
scaling, in which the hypodissipation formally becomes negligible as $t \to
0^+$. In this scaling, it is possible to perturb the Euler non-uniqueness
scenario of Vishik \cite{Vishik1,Vishik2} to the hypodissipative setting at the
nonlinear level. Our perturbation argument is quasilinear in spirit and
circumvents the spectral theoretic approach to incorporating the dissipation in
\cite{albritton2021non}.
