  We study the thermalizing properties of the mass-deformed SYK model, in a
regime of parameters where the eigenstates are ergodically extended over just
portions of the full Fock space, as an all-to-all toy model of many-body
localization. Our numerical results strongly support the hypothesis that,
although considerably delayed, thermalization is still present in this regime.
Our results add to recent studies indicating that many-body localization should
be interpreted as a strict Fock-space localization.
