If you also abolish the notion of intellectual property as well as trade secrets, both of which are severe limitations on free speech, then sure. Otherwise it's just another case of wanting free speech when it suits the company but wanting to restrict it when it doesn't.
> Lies about your character? Your kids? made up stuff that whips up entire segments of your city to commit violence or vandalism against you?
Sure, as long as the actual violence and vandalism is harshly punished to discourage people from acting on falsehoods. The speech was never the real problem here.