I'm not downplaying the dangers and experience needed with a chainsaw. In fact, I think these classes are great to keep people from getting hurt. I just never knew they existed. I grew up as a farm boy in the deep south with cutting wood being a year-round chore. We had to cut fire lines, clear roads, keep trees from leaning over the fence lines that could fall during a storm, etc, etc. There were a few years during college and immediately following it wasn't as common for me to work a saw, but I now live on my own hobby farm in a holler in the foothills. So I'm always having to drop trees that are starting to drop off the inclines or after storms come through I've even had to cut trees out of the road to get to work.
I reckon a chainsaw class can be likened to gun safety courses. Some people have been raised and lived their whole life with them, but other people need to learn the dos and don'ts.
I own saw chaps, but they aren't something I carry on the trail. However, a couple good wedges are a must especially if you are on the trail. It could be an extreme pain in the ass if you pinch your chain and can't free it. Banging a couple wedges in can save you from a big headache or a bent bar.