In article , Nicolaas Vroom
writes:

We believe that matter in a pure quantum state can collapse
to form a black hole.

This is in a certain sense equivalent that a star collapses and becomes
a neutron star

Such a black hole will then evaporate
by Hawking radiation, which is thermal.

This is in a certain sense equivalent that a star explodes and
becomes a super novae.
The issue is if in either of these cases you can speak about
information loss?

Especially with respect to information loss, the two cases are not
equivalent in any meaningful sense. The whole information-loss problem
stems from the fact that, at least classically, a black hole has no
hair, meaning it is COMPLETELY characterized by charge, mass, and
angular momentum. This is not the case for a neutron star.