My concern is that when the private sector limits free speech, it is almost always socially conservative viewpoints that are targeted, particularly on issues like transgenderism and political correctness. For example, I have had posts censored on Atlas for (very intentionally) using the pronouns and names that correspond to biological sex, or, ESPN fired Curt Schilling for voicing opposition to transgenderism. Restrictions on speech in the private sector are generally used by elites to silence conservative values.
Not deliberately misgendering people is not political correctness, it's basic human decency.