That may all be true, but i think its an argument that physics entropy is bad metaphor for human "energy", and doesn't really match.
Indexes in a database take processing power and IOPS to generate, more than dumping it on the disk without an index. Much in the same way, taking your socks and putting them in a drawer takes more energy than dropping them at some random distance between the dryer and the drawer. But when it comes to finding the socks again use of the index (drawer) can save orders of magnitude more energy and time. In someone else's house its going to take far less information if they can point you at a particular drawer rather than you performing an exhaustive search.
There is a direct correlation here, but I won't say it's obvious as the idea that we live in an entropy driven world is a rather recent human discovery when looked at cross human history.
As a thought experiment, imagine your house is fully organized, every sock in its draw. However there is garbage strewn all over the floor and everything is dirty. Would that be an energizing environment for you? Why not, after all, you can easily describe where everything of interest is, the house is just dirty not cluttered.
Any desired and pleasant state (clean/uncluttered/...) of the surroundings which has to be willfully (and through expenditure of energy/work) defended against inevitable spontaneous deterioration is really a victim of the exact same effect: almost all non-living things constantly deteriorate (atoms moving from where they were purposefully put to make things work to unintended places), with only few exceptions. Such as things that develop patina, but that too is really only a certain state of things on their way towards defect.