They are absolutely not complaining about private citizens lambasting them online. It's entrenched monopolies in cooperation with the state itself that work to ruin right-wing (and left-wing in the case of TERFs, Deep Greens, etc.) dissidents' lives and deny their ability to speak. For instance, banks are closing their accounts for opposing the status quo. Banking is so strictly regulated, incestuous, and intertwined with the state that innovation is notoriously difficult; and innovation from an explicitly adversarial entity with no institutional support is nearly impossible.

What's more, if one lives in a red state surrounded by people similar to them on the political spectrum, they'll still have their employers harassed to keep them from holding down a job. It's not their peers "cancelling" them; it's a minority of people with wildly different worldviews from wildly different parts of the country. It's not all that different from swatting.