I have an e-reader, but it's some weird domestic brand so the model probably isn't that interesting. Found a picture of some boomer holding one up:
It's encased in some kind of plastic material. It does make it feel sturdier and I'm less paranoid about bumping it into stuff, but you can't really dust it as nicely as a normal case.
I do use my e-reader frequently, but I prefer physical books. They smell nice, don't need to be charged, are easier to navigate, and don't cost an arm and a leg normally. I mostly use my e-reader for things I probably wouldn't read if I had to pay or go to the library for them. Stuff like Primo Levi's complete works, which would take up too much space in my bookshelf, but also every Index light novel, because I'm never paying for that, at least not in translation. Of course, it's very practical for traveling and I also don't have much room left in my bookshelf. There are definitely books on my shelf I wish I had just gotten for my e-reader instead.
I've also used my e-reader for manga in the past because I was tired of reading in front of a computer screen and having to use a mouse. Haven't done in a while so I forget exactly how I did it. It was pretty comfy, although the screen is a bit too small for this.