I hope so, too. But this is not likely to happen any time soon, as the refresh rate of e-ink displays are still way too low. Meaning, unless you can watch a Video on it ... it won't be a competition in that segment.

Old advertising displays in the analog era used prisms that would turn in synchronicity to display one of three images. Their refresh rate was many seconds, but they still found (and continue to find) use in advertising anywhere from low-cost highway billboards to low-power display stands in malls and parking lots.

There are definitely many applications for slow refreshing displays. But I would actually suspect, that advertisers would prefer the LCD as it is active. It catches the eye more, than the passive e-ink.