Stack leather wraps significantly different from standard leather wraps
Wrapless or stack leather wrap for me.
I've encountered some of the issues the OP has had with standard leather wrap, but usually only under very stressful (i.e. tournament) conditions, or else a pool room with poor air circulation / poor environmentals.
It's not an issue with the animal "being dead" (i.e. the animal whose hide was used for the wrap). Rather, it's an issue with the inherent properties of the skin/hide itself -- heat retention from any source, in this case, the player's hand. If you think about it, an inherent property -- and *purpose* -- of skin itself, is to help the body either retain heat, or release heat, depending on what the body needs. The skin is an actual organ, and is the body's interface to the outside world. If the body needs to retain heat in cold conditions, the skin is an obvious barrier to heat loss (e.g. the skin pores close, and the body moves to shift and consolidate heat to the "core"). If the body needs to release heat, the pores open, and the sweat glands -- living cells -- exude perspiration, which evaporates and dissipate the excess heat.
In the case of standard leather wraps, the hide/skin is dead, and thus doesn't "operate" as an organ anymore. So with no "living" regulation (e.g. pores, sweat glands), the hide is forever stuck in a heat retention mode. This is why some folks experience excessive sweating issues with standard leather wraps.
Stack leather wraps are different from standard leather wraps, in that the stack leather is a continuous leather cord (ribbon, actually) that is wrapped with pressure and heat (from friction, from the tools used to apply pressure onto the cord/ribbon as it's being installed). The hide actually "melts" (it becomes viscous) so that each layer bonds together with the previous one. The heat regulation properties of the natural hide are therefore destroyed, and you're left with a non-porous material that is continuous (no seams), no pores, and repels water. It's as close as you can get to a polyurethane-coated or wrapless cue, without actually being one. I've experienced no issues with excessive sweating with stack leather wraps, as I've experienced with standard leather wraps.
If you get the opportunity to try a cue with a stack leather wrap, you should take it. I think you'll like it.
-Sean