What? No. That's the government acting in response to speech, not other people expressing themselves.
Your argument forgets that it's also free speech to react to something objectionable. If the government forced me to do business with you without my consent, that would be compelled association, which is more similar to how Mao's government behaved in the 50s.
Your argument forgets that it's also free speech to react to something objectionable. If the government forced me to do business with you without my consent, that would be compelled association, which is more similar to how Mao's government behaved in the 50s.