Me too! Until reading this article, I hadn't found the other commands. I had been missing "Save image" and "Set as wallpaper" and wondered why they had become so difficult to access. FYI, it's also possible to save a photo in iMessages by long-pressing it.
Wow...this is TOO weird. I was helping my mom the other day with her iPhone (I use Android so I'm not all that familiar), and I could NOT figure out how to save the image. Now I know why...