  The Campanelli-Lousto solutions of Brans-Dicke theory, usually reported as
black holes are reconsidered and shown to describe, according to the values of
a parameter, wormholes or naked singularities. The veiled Schwarzschild metric
recently used as an example to discuss conformal frames and their equivalence
corresponds to a special case of the CL metric. The conformal cousins of these
solutions, and of the Riegert black hole solution of conformally invariant Weyl
theory, are analysed, leading to a word of caution when interpreting physically
spacetimes generated via conformal transformations from known seed solutions.
