The right to free speech in the US is indeed a specific law with a narrow scope to only limit the US government. This is why people that do end up in court ofte

The right to free speech in the US is indeed a specific law with a narrow scope to only limit the US government. This is why people that do end up in court often go the route of using anti-discrimination laws rather then freedom of speech. It has much bigger scope and it can actually demand that a company host people which they politically disagree with. In EU, if a place cancel a reservation because someone is homosexual then they are likely breaking a human rights law. Anti-discrimination laws covers ideology, political, philosophical, religious and other identities, and showing people the door is often illegal if it done on the grounds of difference in ideology or politics. In the US I don't know if a hosting company has the same right to show the door to a racist (that follow the law) as a racist hotel owner has the right to show a non-white person the door. I suspect the law does not really distinguish between online and offline so my guess would be that racist hotel owners can discriminate if they wish to not host a customer regardless of reasons.