I actually agreed with you, except with the edit. GoDaddy did nothing illegal, either. GoDaddy is executing their free speech. Per Citizens United (pushed by the right, of course)

"The United States Supreme Court held (5–4) on January 21, 2010, that the free speech clause of the First Amendment to the Constitution prohibits the government from restricting independent expenditures for communications by nonprofit corporations, for-profit corporations, labor unions, and other associations".

We should just admit that businesses censor one way or another - whether suppressing speech (removal of tweets), or extreme bias in information dissemination (looking at you, Fox News).