Fingerprinting the entire Netflix library - especially if you limit yourself to popular shows - probably isn't that hard. I concur with not really understanding the point, though.
One possibly relevant factor is that shared encryption keys make it harder to authenticate the data: you can't rely on an HMAC, and RSA verifying every frame would be too slow. You can still do it efficiently with a hash tree, but I bet Netflix currently isn't, and TLS allows browsers to enforce verification on behalf of the user. Without verification, you could potentially exploit the browser with malformed audio or video data, or freak the user out by injecting some other video...