  The recent attempt on mass and radius inference of the central compact object
within the supernova remnant HESS J1731-347 suggests for this object an
unusually low mass of $M = 0.77^{+0.20}_{-0.17}\,M_{\odot}$ and a small radius
of $R = 10.4^{+0.86}_{-0.78}$\,km. We explore the ways such a result can be
accommodated within models of dense matter with heavy baryonic degrees of
freedom which are constrained by the multi-messenger observations. We find that
to do so using only purely nucleonic models, one needs to assume a rather small
value of the slope of symmetry energy $L_{\rm sym}$. Once heavy baryons are
included higher values of the slope $L_{\rm sym}$ become acceptable at the cost
of a slightly reduced maximum mass of static configuration. These two scenarios
are distinguished by the particle composition and will undergo different
cooling scenarios. In addition, we show that the universalities of the
$I$-Love-$Q$ relations for static configurations can be extended to very low
masses without loss in their accuracy.
