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In a recent paper [arXiv:1601.02165], Tao Li claimed that a gapped$\mathbb{Z}_2$ spin liquid, obtained using projected Gutzwiller fermionic wavefunctions, can be stabilized in the Heisenberg model on the kagome lattice. Weperform very accurate variational calculations and confirm with unprecedentedaccuracy the fact, that the $\mathbb{Z}_{2}$ spin liquid is a local energyminimum that goes away with system size, thus reaffirming the scenario of agapless $U(1)$ Dirac spin liquid ground state.

Comment on "$Z_{2}$ spin liquid phase on the kagome lattice: a new saddle point", by Tao Li [arXiv:1601.02165 (2016)]