My bottom is intimately familiar with all three kinds of paddles being discussed here, and I will even add a fourth.
As @gauguin pointed out, the original question was about a wooden paddle compared to a leather-covered paddle, but many responses have referred to a standard "leather" paddle, not leather that is covering wood.
We had a leather-covered paddle but it did not provide much impact or sting. It was like having a wooden paddle with a cushion covering the paddle The wooden paddle alone would have provided a sting, but the leather “padding”, not paddling, provided a cushion. I hope that's clear. The leather covering the wood was more like padding so the paddling impact was softer and lighter and not stingy.
We have two true leather-only paddles. One is a stiff leather paddle and the blade is about 10 x 3 inches (25.4 x 7.6 cm) with nice a leather handle. The other leather paddle is not stiff, but is rather "floppy" and I prefer it over the stiff one that feels almost the same as a wooden paddle.
The floppy leather paddle was about 18 x 4 inches (45.7 x 10.2 cm), but that was too long and much too floppy and too heavy for my petite wife to safely swing in my direction and it was literally unsafe to have her swinging something she could not control. So I cut the blade down to about 10 inches (25.4 cm) so she can handle it and spank me where I want to be spanked, on my bottom, instead getting her errant shots landing anywhere from my kidneys to my knees and sometimes wrapping around my side almost to the front of me. If you have never been struck by a spanking implement up by your kidneys or down on your thighs or around on your sides, let me tell you, those strikes kill. Well, they don’t actually kill, but the sting and burn and throb and hurt a whole lot more than a nice strike directly on the target bum. The skin in those three areas outside your keister zone is thinner and far more sensitive than on your bum that likely is a little calloused from getting smacked around on a regular basis, hopefully.
I love the feel of the floppy leather paddle on my bottom. Mind you, I also love the feel of my eight wooden paddles made of various kinds of wood in various shapes and sizes and thicknesses and one with holes, and also the Delrin cane and the rattan cane, the wooden kitchen spoon, the wooden kitchen spoon with holes in it, the wooden bath brush, the other wooden bath brush (the smacking surface on the one bath brush is round and the other is oval, because I’m pretty sure you were just asking yourself, “If he and his wife have two wooden bath brushes from Walmart, how are they different? The bath brushes, that is, is, how are the bath brushes different), the wooden hairbrush, the hard-plastic, waffle-surface paddle... Well, you get the idea--I love getting paddled with pretty much any kind of spanking implement, well, maybe as long as it doesn’t have nine-inch, razor-sharp hooks in it.
But I really love the feel of the floppy leather paddle smacking my bum. It has a very different feel.
A wooden paddle is perfectly flat, whereas our butt cheeks are curved, mostly. I hope those two simple facts do not come as a shock to anyone. The two shapes, flat and round, are different, but they can still get along well enough for a nice spanking. When a wooden paddle smacks your bottom cheeks, it first contacts the highest point on the cheeks and then the paddle begins to flatten the cheeks and spreads the area of impact as the flat paddle continues its downward motion until it maximizes the size of the impact on your gluteus maximus, at which point the paddle reverses its motion as your butt cheeks recoil to their normal curved shape.
The floppy leather paddle provides a different kind of impact. Whereas the wooden paddle is rigid and flat the floppy leather paddle is only mostly flat, but being floppy, it can conform to the round shape of your bottom. The floppy leather paddle sort of wraps around your bottom cheeks all at once with the entire surface of the leather paddle making contact with your bottom all at once instead of compressing the cheeks to eventually having most of the wooden paddle surface making contact with your bottom cheeks.
Having the full surface of the floppy leather conform to the curved shape of the bum all at once is an awesome sensation and I love it…
…along with all my other paddles.