Comment on "Insensitivity of Hawking Radiation to an invariant Planck-scale cutoff"

I point out that the cutoff introduced by Agullo et al. [Phys.Rev.D80:047503,2009 arXiv:0906.5315] has little impact on the trans-Planckian problem as it is usually understood; it excludes only a small fraction of the problematic modes.