I don’t think a broad statement like that is accurate. There are plenty of folks not getting vaccinated that haven’t gotten covid.
My dad, for example, is against the vaccine and though he’s (thankfully) not contracted the virus, I don’t think he feels like he needs to do his part of anything.
As a side note, I don’t begrudge anyone for not getting vaccinated. For my dad’s argument that it was rushed and he feels like it’s a risk, I respect that. But he is going to have to respect my choice of not seeing him because I don’t want to risk him getting covid. Even though I’m vaccinated, as we all know, I can still be asymptomatic. The vaccine isn’t just to prevent contracting the virus, it’s also for mitigating the severity if you do get it.