We comment on the treatment of asymptotic black-disk scattering in a recent paper of Nastase and Sonnenschein [Phys. Rev. D 92, 105028 (2015)] on scattering in an updated version of the Heisenberg model which gives p p and p ¯p cross sections which increase at very high energies as ln2s . We show that the total cross section they define does not correspond to that measured in experiments, with the result that their limit for the ratio σelas/σtot is too small by a factor 2. The correct ratio for black-disk scattering, σelas/σtot→1 /2 for s →∞ , is strongly supported by experiment.