It is the absolute worst version of the state that restricts a minor's ability to access life-saving things like vaccines. So of course the crazy Libertarian Party of Connecticut is for it.
My favorite CT politics thing is how the Independent Party of Connecticut is a much bigger party in the state than the Libertarian Party. So many people inadvertently join it thinking they are just saying they are independent and not realizing it is an actual party. It isn't very independent beyond the name, it mostly has just been a second Republican party.
I'm not suggesting doctor or even worse state absolutism in its place. Just giving children rights commensurate with their ability. If teens are having sex I want them to have enough control over their sexual health in terms of access to say the HPV vaccine and contraceptives.