When I started bike touring, I wore synthetics because that was what was available at the stores where I bought biking clothes. After reading about merino wool, I tried one and really liked the way it kept me just warm enough in cold weather and just cold enough in hot weather. That jersey is long gone and the new ones I can find are a bit thicker, so they are a bit warmer in hot weather but better in the cold.
I only use wool jerseys these days. I like the way they feel and, on me, they don't stink. I find that they dry overnight after washing. I also take wool t-shirts as my off-bike clothes for the same reason. In fact,I now take these when I travel without the bike, as they greatly lessen the laundry requirements.
On particularly cold days, I wear both the t-shirt and a jersey. On particularly hot days, I just wear a wool t-shirt.
The only downside might be that wool isn't as durable as other fabrics, though I only use wool these days, so have no current experience on this topic.