What is self-organization? I think Pattee is connecting conceptual worlds here that have nothing to do with each other. When we speak of the genetic code, we mean that nature has developed a system from which certain things emerge. Because we don't know exactly what's going on, we call it code. It is not really a code in the information-theoretic sense, because there is neither a sender nor a receiver.
It is completely different in the cultural area. There, for example, a certain social meaning is encoded in the four letters of the word love. There is a sender here, namely society, and a receiver, namely the individual.
In my opinion, Pattee makes the mistake of assigning human concepts to nature. Nature knows no meanings and therefore no semiotics. Nor does it know any information, by the way. Therefore, when I use the term information, I always add that it is actually structure. Because the term information leads to the same misunderstandings as those contained in the term biosemiotics.