Your oncologist is not a virologist. There is no evidence that the virus can live on a surface for any period of time. Only in the last 12 months have we even been able to culture it outside the body to study it, so what we know about its life history, is minimal. The science community at large believes that the vaccine will protect from all disease that HPV16 causes, anal, penis, vulvar, cervical and oral cancer. If you can't get the virus, you can't get the diseases that it causes. There is no scientific clinical trial that proves this, but the logic dictates it. This is discussed to some extent at the bottom of the page I referenced above.

Brian, stage 4 oral cancer survivor. OCF Founder and Director. The first responsibility of a leader is to define reality. The last is to say thank you. In between, the leader is a servant.