[jmyeet]

"Vaccine skeptic" is just the more indirect way of saying "anti-vaxxer". There's no practical difference.

[josephcsible]

You focused on the wrong part of the sentence. The key difference is whether someone is against vaccines in general, or against the COVID vaccines in particular.

[throwaway234223]

Correct. It's a straw man.

[throwaway234223]

By definition, they would need to oppose vaccinations or mandates [1].

[1]: https://www.merriam-webster.com/dictionary/anti-vaxxer