No doubt! But for *this* particular vaccine...I truly believe education and prevention would save more lives than the vaccine itself. Being such a 'new' vaccine, I think the jury is still way out on how many lives it will actually 'save', in definite terms.
Because it's my style here is a randomised double blind trial for HPV vaccines:
Efficacy of human papillomavirus (HPV)-16/18 AS04-... [Lancet. 2009] - PubMed result

It shows that HPV vaccination reduces pre-cancerous legions by more than 98%. Sounds like a good start, don't you think?