  It has been recently claimed in [arXiv:2211.12327] that an action of the
Einstein-Palatini form plus a torsionless Pontryagin term (multiplied by a
constant) represents a counterexample to the conclusions of [arXiv:0705.1879],
namely, that Lovelock gravity is the only case in which the metric and
metric-affine formulations of gravity are equivalent. However, given that the
Pontryagin term (multiplied by a constant) can be written as a total
D-divergence, it is a textbook matter to realise that the addition of such (or
any other) D-divergence only affects at the boundary, leaving invariant the
field equations and its solutions, which are those of GR \`{a} la Palatini. We
thus conclude that the example provided in [arXiv:2211.12327] is not a valid
counterexample of [arXiv:0705.1879].
