Wool can absolutely get wet. Of course, once it does it will be ruined but that wasn't your question.
Yes.
Its warm, even when wet.
Wool keeps you warm, even when it gets wet.
alpaca wool does not stink when wet,in fact it absorbs moisture from skin and air and stays warm even when wet
FLEECE or WOOL will be the best because it can keep you warm and dry. Cotton might be comfy but it won't keep you as warm and if it gets wet it will not keep you dry. It will stay wet(cotton). But, the choice is yours so go ahead and pick any fabric you want.
If it is cold water, than it is cold. if it is warm water, it is normal
YES WOOL KEEPS YOU VERY WARM BUT IT ALSO STINKS IF YOU GET IT WET AND FEELS SCRATCHY AND IS VERY HEAVY
If wool is considered cloth, wool!
To keep ya warm
The wool prevents 'the thing' from losing heat, i.e. it won't make a cold stone warm.
Cotton when wet exhibits a capillary effect and wicks much water into its volume. It does not keep you warm.
To keep something warm, wool would be the best insulator