Earlier quoted context omitted.
Yeah, I had to parse the article a couple times because the wording is wrong. It seems to me that entropica is trying to minimize the entropy of the system. Life is all about low entropy.
Indeed. I'd say intelligence tries to keep its environment in a state it can predict.
So, they generalized the method to find a predictable future, but in very unstable states. Later, Der and Ay generalized this towards maximization of predictive information - for that, it is not sufficient to predict to environment, but there also must be something nontrivial to predict. This gives rise to a number of highly interesting behaviours in many of their scenarios.
So, yes, your idea is a good one...