I use those nitrile coated gloves for poling and get frustrated on trips where I often switch between poling and paddling. These are mostly cooler weather trips. If it's hot, I don't switch a lot, opting to "kayak paddle" with the pole. When it's cold, I try to keep my hands dry, which means keeping one end of the pole dry, so no kayak paddling. So, my frustration is that when I sit down and grab the paddle, the coated gloves are very grippy, and twisting the paddle for the j-stroke becomes uncomfortable.
I'm surprised Al likes the coated gloves for paddling. I like leather work gloves for paddling, because the paddle shaft easily slides against the leather. They aren't very warm, though. I know they sell insulated work gloves, but these always seem too tight on my hands.
I looked over the winter glove selection at the Tractor Supply store a few days ago. Some were labeled as waterproof, and looked like they might do well for paddling. But, my experience with waterproof gloves is that they keep in moisture from your hand, and after a few hours, they are wet and not so warm. The waterproofness makes them difficult to dry out.
Fortunately, where I paddle, we don't get much really cold weather, and leather work gloves do the job for me most of the time. I went out last weekend when the high was 39. I got by with the coated gloves for poling and leather work gloves for paddling. I've tried most of the gloves like toaster mitts, glacier gloves, and neoprene gloves, but still looking. Goretex over mitt on top of wool makes sense, but not in my collection at present.
If you try leather work gloves, get the white ones. When the tan ones get wet, you end up with tan colored hands.