When people bring up the technicalities of freedom of speech it really helps if all the technical aspects is mentioned. Freedom of speech, as part of the US constitution, only defines how governments may behave. For private institutions and companies located in the US there is a very related law called anti-discrimination. When a company refuse service based on religious, political or other protected classes (defined by federal law and each individual state), people may think in terms of free speech but the technical correct term is then anti-discrimination.

In the EU however the term freedom of speech can be used as the EU declaration of human rights does not define governments.

To give an identical analogy, a bartender can not kick you out if they notice that you are Jewish. They can kick you out if you are harassing people, but they can end up in court having to explain themselves and present evidence that the refusing of service was not done on the basis of disagreeing with peoples views and beliefs.