That could not be further from the truth. There’s plenty of offensive speech that isn’t suppressed (personal insults, porn/other things that used to be considered “obscene”) and there’s plenty of inoffensive speech that is (spam, sometimes defamation).
No speech is suppressed where free speech is valued as a right, probably your case.
You would find that porn and personal insults are not legal in many parts of the world. The Chinese government has adopted a zero-tolerance policy toward so-called sexual content.
https://en.wikipedia.org/wiki/Pornography_in_China
You can defame a corporation, in which case there’s no one to take offense. As for spam: look up the long list of rules in the CAN-SPAM act, for example.
How am I missing the point? There is no point. We can choose as humans how we deal with speech we find offensive.
Free speech as a right was thought of by people that deemed offensive speech to have inherent protection. Article 19 of the Universal Declaration of Human Rights.
You're free to say you like pickles over carrots in Saudi Arabia. Offensive doesn't necessarily mean demeaning of human rights.