  There has recently been some considerable interest expressed in a highly
speculative model of black hole evolution -- allegedly by a postulated direct
coupling between black holes and cosmological expansion independently of
accretion or mergers. We wish to make several cautionary comments in this
regard -- at least three exact solutions corresponding to black holes embedded
in a FLRW background are known, (Kottler, McVittie, Kerr-de Sitter), and they
show no hint of this claimed effect -- thereby implying that this claimed
effect (if it exists at all) is certainly nowhere near ubiquitous.
