  A large part of the discussion on entanglement islands has explored the
specific setup of $2d$ JT gravity with a flat heatbath coupled to a $2d$ CFT.
In this paper, we consider a more general setup and treatment of islands in a
$d-$dimensional AdS black hole background. The quantum fields modeling the
Hawking radiation have a scale and are consistently inherited from a conformal
parent theory; their symmetries are thus compatible with those of curved
backgrounds. We demonstrate explicitly that the existence of islands is
sensitive to the choice of CFT used to model the Hawking radiation. We compute
the renormalised entanglement entropy of conformal fields on a negatively
curved background in $d$ dimensions at zero temperature as well as the thermal
regulated entropy of an entangling region near the UV boundary. Using the
latter quantity as the entropy of the Hawking radiation, we find that islands
never emerge for $d>2$.
