It's a very minor distinction, but they aren't a epaper display (low refresh rate, zero power to maintain an image), rather the technology is a sharp memory LCD (ludicrously low power, but high refresh rate). They're extremely neat and don't suffer from the washed out color and ghosting that epaper does, at the cost of needing ever so slightly above no power to keep an image displayed. I much, much prefer them even though Sharp doesn't really advertise them anymore.
Isn’t e-paper the general category of low power displays? I understand that “e-ink” are a trademarked subset of the broader e-paper category, which also includes memory-in-pixel LCD displays which other watches like Garmin (and probably pebble) have. E-ink displays are only manufactured by eink corp, and are popularly found on e-readers, shelf price tags in some stores etc.
I may be mixing terms in my brain, though. Happy to be corrected.