Hi Chris,
Stocking foot waders are still completely waterproof and your feet are always dry, it just means that instead of having an integral boot, the bottom is shaped like a sock so you can put a pair of boots on.
Wading boots are designed to dry quickly and many designed to drain quickly as well.
If they havent dried by the following day you can still wear them as you feet wont get wet as you are wearing wader.
Walking on wet muddy banks is no different in wading boots than any other footwear unless of course you are wearing felt soles, then you may as well skate from swim to swim!