Unless $=$, neither of the following values can be approximated within additive error $o(n)$ for hypertrees of edge size at most 0:  $\UU(\cH)$,  $\dec(\cH)$, $\aaa(\cH)-\UU(\cH)$,  $\tau(\cH)-\dec(\cH)$, $\dec(\cH)-\tau_0(\cH)/0$.  