I wash the insides of my boots regular. it helps keep them fresher but it also lifts the oils and minerals that stop goretex and event from being able to work properly. Also at the end of a season be it fabric boots at the end of summer the best thing for them is a good clean before you store them away. Salts and so on from sweat will degrade the inside of the boot.
For best results from drying keep them away from a heat source like radiators, air dry is best and if you need them quickly them forced air from a fan is best. Just a normal table top fan will dry boots overnight if needed. suspend the boots upside down by tying the laces around the sole of the boot and onto either side of a coat hanger. hang up the coat hanger suspending the boots into the airflow of the fan. put something under the boots to catch the drips.
Look after your boots and they will work better for longer.