I don't hear this being brought up by Democrats at all. And if you look at the statistics by party on who is getting vaccinated I think it is pretty stark that this is not having much of an effect. So even if that caused some Democrats to think that at the time, they seem to have gotten over that.

Looking at the both the statistics, and what media sources are pushing anti-vax sentiments, I don't think your argument has much of a leg to stand on. It is distorting a statement to try and justify a "they are bad", or a "they are bad too" attitude.