  We consider vector spin glass models with self-overlap correction. Since the
limit of free energy is an infimum, we use arguments analogous to those for
generic models to show the following: 1) the averaged self-overlap converges;
2) the self-overlap concentrates; 3) the infimum optimizes over paths whose
right endpoints are the limit of self-overlap. Lastly, using these, we directly
verify the equivalence between the variational formula obtained in
[arXiv:2303.16284] and Panchenko's generalized Parisi formula in [Ann. Probab.,
46(2):865-896].
