When engaged in public speech the burden is not on anyone to give evidence. The burden is on the people to act independently to any messaging or advertising if they should wish to be so burdened or unburdened.
Ahh, so it's cool then that I advocate to employers that people who say racist things should be fired; and it's the employers responsibility to duly way that so as not be burdened or unburdened? "Cancel culture" is fine by your argument then.