One thing I've found is wearing my Windstopper spring/fall non-insulated gloves as liners, with the insulation OVER the shell, works better than the insulation/liner next to skin. My hands get cold and anything under 40 has been a challenge for me. I've had issues with wetting out liners/insulation too. The WS layer gives you a smaller micro-climate to warm, manages moisture better than insulation, and doesn't compress/bunch keeping circulation going. The insulation doesn't work as well, but it doesn't get as bunched up under your hand allowing it to work and the air keeps the insulation dry.
Doesn't seem like the right idea, but it's easy to try. I'd suggest doing the Pepsi challenge.
One problem I've found with dedicated winder gloves is that they don't have much palm-side insulation. This is OK for foam MTB grips, but on road bars, the bars transmit a lot of cold to your hands through the tape - another area where liners/dedicated insulation helps.