Doesn't seem like a valid analogy to me. Access to an API isn't the same thing as intentionally accessing a paid service for free.

If someone writes an app that somehow bypasses needing a Netflix account and lets you stream video from them without paying them. That would be analogous. The intent would be to illegitimately access a paid service.

Using a third party client with a valid account to access API endpoints that respond to that account. I don't see a problem with that. I don't care what the ToS says. It should not be legal to disallow that in a ToS. It also shouldn't be legal to intentionally obfuscate your APIs.

Third party clients are okay and attempting to block them is morally wrong and should not be legal.