I don't think the canvas material has enough waterproof protection and when it fails all that is left is the goretex sock.
I do believe that the goretex can need re-activated after getting wet and you need to stick them in a tumble dryer "so I was told". I washed mine in the proper stuff then the stuff that waterproofed them, tumble dried them and they **** water in just the same, especially so when I had my water proof leggings on and the water ran down onto them.
When you tumble dry gore-tex you are doing so to rejuvenate the water-repellant coating, helping water bead off the surface rather than soak in. This does not make it more waterproof though, just helps the breathability.
I wouldn't think this would make any difference to your boots, it's the wax you are applying to the outer surface which is the water-repellant coating, and in my experience this makes precious little difference if the inner goretex membrane is leaking.
If your boots have a goretex lining and are leaking within the warranty period you could probably return them, a shop agreed to take back my 18 month old Scarpa Kailash boots on that basis. If they don't have a lining then nothing short of a 1 piece leather upper a la Scarpa SL Active, Altberg Tethera etc will keep your feet dry.
Maybe try the thin, calf length Seal Skinz waterproof socks with your existing boots?