This is just plain wrong and not at all what this article is about. In the article, a script is developed that enforces state transfer by the specified transition table, i.e. only a specific set of bitcoin transactions are allowed on the state, namely the ones from the transition table.

So what is the article about, then? I started this thread disagreeing with the claim that material presented in the article somehow makes bitcoin turing complete and claiming that it, in fact, is not. You seem to be arguing this point with me, but I am not exactly sure what your (counter)arguments are.