Then I would not use it because it does not work the way I want it to work...

But if that is the service they are making and they are clear about what it is when you sign up... That does not make it illegal.

I can see why people think they should be entitled to do this, but it does not align with how they are selling the service or how many other companies sell services. In most situations you don't get unlimited access to the individual components of how a service works (the API), you are expected to use the service (in this case Claude Code) directly.