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The balloon-borne ANITA experiment is designed to detect ultra-high energyneutrinos via radio emissions produced by an in-ice shower. Although initiallypurposed for interactions within the Antarctic ice sheet, ANITA alsodemonstrated the ability to self-trigger on radio emissions from ultra-highenergy charged cosmic rays interacting in the Earth's atmosphere. For showersproduced above the Antarctic ice sheet, reflection of the down-coming radiosignals at the Antarctic surface should result in a polarity inversion prior tosubsequent observation at the $\sim$35-40 km altitude ANITA gondola. ANITA haspublished two anomalous instances of upcoming cosmic-rays with measuredpolarity opposite the remaining sample of $\sim$50 UHECR signals. The steepobserved upwards incidence angles (25--30 degrees relative to the horizontal)require non-Standard Model physics if these events are due to in-ice neutrinointeractions, as the Standard Model cross-section would otherwise prohibitneutrinos from penetrating the long required chord of Earth. Shoemaker et al.posit that glaciological effects may explain the steep observed anomalousevents. We herein consider the scenarios offered by Shoemaker et al. and findthem to be disfavored by extant ANITA and HiCal experimental data. We note thatthe recent report of four additional near-horizon anomalous ANITA-4 events, at$>3\sigma$ significance, are incompatible with their model, which requiressignificant signal transmission into the ice.

Experimental tests of sub-surface reflectors as an explanation for the ANITA anomalous events