No they didn't.

You still haven't proven to me how Twitter was "forced against its will" to censor right-wing speech.

"This is the part in the play when some rowdy voice shouts from the cheap seats that "Twitter is a private corporation, it's not government." True enough, but the government can't enlist a private citizen or corporation to undertake what the Constitution precludes it from doing."

and, later:

The U.S. Supreme Court settled that decades ago with what's known as the law of agency, which allows a "principal" to assign an agent to do something on the principal's behalf. It's a limited transfer of power. And what the government is forbidden from doing it is also forbidden from subcontracting to an agent.

Newsweek, The FBI Colluded With Twitter to Suppress Free Speech. Where Is the Outrage?