  We show that the Ricci flat Calabi's metrics on holomorphic line bundles over
compact Kaehler-Einstein manifolds are not projectively induced. As a byproduct
we solve a conjecture addressed in [arXiv:1705.03908v2 [math.DG]] by proving
that any multiple of the Eguchi-Hanson metric on the blow-up of C^2 at the
origin is not projectively induced.
