You've misunderstood. I don't believe the people who acted felt they were being coerced - I believe they felt they were doing the right thing and were happy to oblige.
Yes, this is so painfully obvious that it seems disingenuous to be so naive as to not understand.
Nah, just misunderstood and somewhat continue to misunderstand their point. I don't see how the offered info is relevant to whether this is a 1A violation.
The 1st amendment doesn't come into play unless Twitter is being coerced by the government against their will. There's no legal prohibition against Twitter moderating their platform in a way that also pleases certain people associated with the government.