The problem is that feet sweat, and goretex doesn't breath well. But goretex keeps moisture inside the shoe like a mofo. Walking in water that goes over the top of the shoe compounds that.

my feet were soaked after wearing goretex shoes in wet fields - and I had full length gaiters on.

I gave up on dry feet - I now shoot for feet that dry quickly, which non-goretex shoes do better. Goretex shoes I had took a full three days in the sun to dry, and I still needed to use a blow dryer on them. My non-Goretex shoes dry overnight.

While backpacking I take one (or two) pair of dry socks. One for sleeping in that stays dry, one for switching out with the other pair while hiking - so one pair can be drying on the pack.