that first picture looks like enough water damage to be called Trench Foot (a real medical term, otherwise known as immersion foot).

agree with DUG. keep feet dry with liners and wool socks, a change or two or three throughout the day if you sweat a lot.
Some liners are too slick or too thin and wiggle around, so they may make the problem worse by rubbing. Not just any old liner will help, must experiment.

Some people use underarm antiperspirant spray on their feet to reduce sweating.

In humid east, feet sweat inside boots and it never wicks well away because there is no evaporation gradient - the air is nearly as humid on the outside as the humid interior of the boot. In the glorious dry west, I have never had a wet foot scenario from sweating because the wicking is so noticeably superior.

Steve, ever try Benzoin to make tape stick? good stuff, and has a pleasing, addicting scent. Harvey