No, because to use a transportation analogy ISPs are like buses or light rail, while websites are like the stores and offices and gathering places that you take the buses or light rail too.
There would be nothing ironic about believing that a city's bus or light rail systems should be required to accept all passengers who have the fare and are not an actual danger to other passengers, while simultaneously believing that a private store or office that one might reach by bus does not have to accept everyone.