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I don't want to be rude but I'll just point out that the culture here seems a bit unusual. I asked a question, stated my use case, and specified who I wanted to hear from: people who write on ereaders.

I didn't really expect to begin by second guessing everything I've asked about or wade into the question of whether it's conceptually possible to write on an "ereader" - that's what the New Thread button is for.

I write by hand. I've been copy-editing manuscripts by hand on an EREADER for 4 years.

Remarkable is an ereader; it has an e-ink screen and it can read ebooks; however, writing is its specialty. So is the Sony DPT, however it is limited to PDF (which, when you get down to it, is an electronic book format).

The best example, though, is perhaps the Onyx Note / Max series. Which run on Android and are both very competent as readers and writers - yes, it's possible. Why wouldn't it be? If you can write on it, the hardware at least, supports reading by necessity.

I happen to be interested in the Note Pro.

There are many other new devices that do the same thing; it's something of an emerging market - there are more on the horizon; and yes, as TEX2002ans pointed out you could also use a tablet.
And there are the people who connect BT keyboards to ereaders as well.

I suppose I should be grateful to receive so many replies, as so far (besides rjwse perhaps (is Calibre on an ereader?)) noone has admitted to writing with one. I know these people do exist because I found some on Reddit yesterday (actually, I still have my doubts))!