[dist-epoch]

Is about subjective knowledge, not objective.

So entropy is not related to the number of remaining legal states.

If I know the seed of a PRNG, the entropy of the numbers it generates is zero for me. If I don't know the seed, it has very high entropy.

https://www.quantamagazine.org/what-is-entropy-a-measure-of-...

[HelloNurse]

Low entropy in chess means effective prediction of future moves, which is far less useful than dedicating equivalent effort to choosing a good next move for ourselves.