Everyone knows no one reads terms and that it isn't feasible for a normal person to do so, so I don't know why it would "obviously" be against them to anyone. If you're paying for a subscription with known limits, you'd expect you can use up to those limits. It's no more obvious to me than if you used the API token and got banned for using another client, or if a website decided to ban Firefox users.
Everyone knows no one reads terms and that it isn't feasible for a normal person to do so, so I don't know why it would "obviously" be against them to anyone. If you're paying for a subscription with known limits, you'd expect you can use up to those limits. It's no more obvious to me than if you used the API token and got banned for using another client, or if a website decided to ban Firefox users.