  In this note, we shall show that the two-term spectral asymptotics for the
operator of linear elasticity with mixed boundary conditions which were given
by Capoferri and Mann in \cite{CaMa-24} essentially are old well-known results
due to T. Branson, P. Gilkey, B. {\O}rsted and A. Pierzchalski in \cite{BGOP}.
In addition, we further point out that the so-called ``general formulae'' in
\cite{SaVa-97, CaFrLeVa-23} and the calculations for several examples in
\cite{CaMa-24, CaFrLeVa-23} are all wrong.
