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