Just Post

The term entropy isn't wrong here, I was more referring to the other terms I was using. "Entropy" itself is heavily overloaded as a term, and some uses of it relate to information theory and combinatorics, i.e. information entropy, configuration entropy etc.
That's the reasoning I'm going by here - in those uses the entropy of a system is directly proportional to the log of possible combinations a system can have, and clearly the bottom system is a lot more constrained than the top one.