  We study a critical limit in which asymptotically-AdS black holes develop
maximal conical deficits and their horizons become non-compact. When applied to
stationary rotating black holes this limit coincides with the "ultraspinning
limit" and yields the Superentropic black holes whose entropy was derived
recently and found to exceed the maximal possible bound imposed by the Reverse
Isoperimetric Inequality. To gain more insight into this peculiar result, we
study this limit in the context of accelerated AdS black holes that have
unequal deficits along the polar axes, hence the maximal deficit need not
appear on both poles simultaneously. Surprisingly, we find that in the presence
of acceleration, the critical limit becomes smooth, and is obtained simply by
taking various upper bounds in the parameter space that we elucidate. The
Critical black holes thus obtained have many common features with Superentropic
black holes, but are manifestly not superentropic. This raises a concern as to
whether Superentropic black holes actually are superentropic. We argue that
this may not be so and that the original conclusion is likely attributed to the
degeneracy of the resulting first law.
