Historically communists literally cancel people by imprisoning them and sending them to re-education camps or worse.
Today's virtue signaling by corporations is no different than it was twenty years ago when Janet Jackson slipped a nip at the Super Bowl. Advertisers threatened to leave NFL. FCC opened an investigation. All of this to please what these corporations perceived as the majority mob.
edit: in the US, it's completely legal to fire people because you don't like their taste in shoes, or because you're so attracted to them that you think you'll be tempted to try to cheat on your wife. I don't think we should have a carved out protected class for employees who sounded transphobic on twitter once. We should have a minimum process for firing people that is dictated by the state, and further process that is negotiated by the employee's union. "Free speech" libertarians hate that a lot more.
Not really: "I'm sorry, it's now clear that your values are out of alignment with the company values. While your work here has been effective, we can't justify the harm your value misalignment is bringing the company."
What on earth does a lack of labor rights have to do with capitalism?
Labor can be -- and often is -- unprotected in all economic structures. A laborer in a communist state has historically had very few labor protections.