The Short Version
Cancel culture does produce documented chilling effects — self-censorship, fear of retaliation, and reluctance to voice unpopular opinions — particularly in academia and on social media. However, the claim overstates the evidence by saying it "significantly limits" free speech across all "Western societies." The best neutral survey data (Pew) shows only 14% of informed Americans call it censorship. Much of what is labeled "cancel culture" is itself legally protected counterspeech, not government censorship. The claim captures a real phenomenon but exaggerates its breadth and severity.