In principle you’re right, but there’s an important distinction: Maximal entropy corresponds to a uniform probability distribution. It’s the configuration where we have lost all information, i.e. are most clueless.

Entropy is not a state, it’s a conjugate variable

(ノಠ益ಠ)ノ彡┻━┻

To elaborate on this, the Schrödinger equation, which describes the dynamics of a single particle, is a wave equation and hence a lot of classical intuition from e.g. electrodynamics can be applied. It is many-body systems, i.e. systems composed of many interacting particles, which is not only mathematically complex but can also defy classical expectations due to emerging phenomena, etc.