He was well informed and based on his internet presence is a far more prestigious doctor than I and he wrote a thoughtful post about the vaccine in 2011. I don't agree with much of it, though, much of which is probably due to the fact that he was basing his opinion on information from 8+ years ago.
The vaccine now covers 9 strains that predispose to 90% of genitourinary cancers and warts. It is also now recommended for males. It is also now a 2 dose series, not 3, for children under 15 years of age, thus cutting his cost-for-uninsured argument (not to mention that VFC will cover that cost for uninsured children, negating his cost-for-uninsured argument). I may also be biased by working with a fairly large poor population that will definitely not have routine checkups and Pap smears as they age.
What really pisses me off with his blog post is his passive-aggressive mention of the possible deaths related to the HPV vaccines. Again, maybe this was due to the fact that this post was written 8 years ago, but to my knowledge, there was no scientific evidence at that time connecting the deaths to the vaccine.
This post from 2015 gives a detailed rundown of these deaths.