Seeking references on IRV + antiplurality

Anti-plurality is truly terrible. IRV still suffers from center-splitting (and -splitting in general).

Just how badly would an IRV-variant that on each round instead of throwing out the smallest top-rank, instead throws out the largest bottom-ranked? Is this a proposed system, and if so what is it called? What are the obvious terrible failure modes? And to what degree are they ameliorated by BTR-IRV equivalents of taking full-rankings between the two most-hated in determining which to eliminate?