Adsorbed potassium in resting state lowering entropy?

The high potassium concentration in cells is a result of the cell protein matrix selectively adsorbing potassium over sodium in resting state. Are the potassium ions providing a mechanism similar to zinc in a galvanic cell, existing in reduced state bound to carboxyl groups on proteins, releasing electrons when oxidized? Not that good at those things, but seems like the resting state cell should favour a high energy state with a high potential to do work, much like a battery, and electrolyte choice might play in there.

The resting state, binding potassium, that can collapse into the activated state, that instead binds sodium, is like a charged battery.