Earlier quoted context omitted.
E-paper and E-ink are different technologies though. E-paper is transfletive LCD and requires power to keep the image on the display.
E-paper and e-ink are synonyms (well, to be more precise, e-ink is a brand of e-paper, but those terms are being commonly used as synonymous). Not sure what you're referring to regarding transflective screens, as both the article and my comment refer to displays that only need power to update their content. I also have a device with a transflective LCD, it's called Nokia N900 - it would be hard to mistake one display…
They absolutely are not. E-paper is a generic term for "screens that can be used like paper". E-ink is a specific technology.
If you see people saying a device uses an "e-paper display" it's because it's not e-ink, but often they want to make people think that it is (because e-ink is arguably the best kind of e-paper display).
Transflective LCD is an example of an e-paper display that is not e-ink.