I don't know, but note that eliminated in this context means less than four cases per 100.000 women (https://www.dr.dk/nyheder/indland/livmoderhalskraeft-kan-vae...).

Not quite, because cancer can spontaneously develop in basically any tissue, and given the wrong conditions/immune response, spread, but practically speaking, just about all, >99%.

e.g. this source says 99.7%: https://pmc.ncbi.nlm.nih.gov/articles/PMC7062568/