  Vacua of different gaugings of $D=4$ ${\cal N}=8$ supergravity that preserve
the same supersymmetries and bosonic symmetry tend to exhibit the same
universal mass spectrum within their respective supergravities. For AdS$_4$
vacua in gauged supergravities that arise upon consistent truncation of
string/M-theory, we show that this universality is lost at higher Kaluza-Klein
levels. However, universality is still maintained in a milder form, as certain
sums over a finite number of states remain universal. Further, we derive a mass
matrix for Kaluza-Klein gravitons which is valid for all the AdS$_4$ vacua in
string/M-theory that uplift from the gaugings of $D=4$ ${\cal N}=8$
supergravity that we consider. The mild universality of mass sums is related to
the trace of this mass matrix.
