They're much less irritating to your skin. Disposable razor commercials sold the world on the idea that more blades=closer and smoother shave; when in reality they can really tear up your face and leave razor bumps and ingrown hairs.
I'd say it's more of a learning curve question. With a swiwel you get good results most of the time but if it doesn't work as you need there's nothing to do. With a solid construction you need to learn to manipulate it efficiently but then it's that you can use it for any shape of skull. TL;DR convenient ≠ better
But yes, it's better I elaborate: it's not the razor that may or may not work. It's the user that may not be suitable for swiwel head and such a user will be equally bad suited for all of them. It's good if it works for you but not guaranteed to work for others
I've been using DEs for the last 6 years. I use a Feather blade in the shower with no mirror to fully shave and don't cut myself. Not saying when I started I was that good. Feather blades are extremely sharp. I walked out pretty bloody once or twice when I started using them. Just get really good on some 7o'clocks or Gillette blades first.