Earlier quoted context omitted.
Of course, that perfection is achieved by shifting all your risk to key distribution. I think of OTPs as a form of time-shifting. Think of it this way: if you and your correspondent have viable OTPs, that implies that, at some point in the past, you securely communicated that OTP. Since it is (at least) the length of a future message, you could have just passed a secure message then. Instead, you passed something tha…
Imagine implementing your amazing solution in real life. I don't see a situation being frequent where you'd know the message weeks or months in advance of when you send it. If we follow your scheme, there's no encryption; we just meet up when we need to communicate. What if we're on opposite sides of the earth? If we had exchanged keys months earlier, this wouldn't be a problem.
The fact that your key material is the same size as the message means all your security is in the key, thus in your key distribution method. Among other problems, this means no rekeying without replicating your original hand-off - you can communicate exactly as many bits as your previously securely exchanged, no more.