Transflectve LCDs can't compete against Eink on contrast. They are inherently compromised on light transmission because of the polarizers and the modern desire for [back|front]light support.
I'm aware of LCD's inherent contrast handicap due to polarising filters. That said, E-ink also has a relatively low contrast ratio. Interestingly, that turns into a benefit under direct sunlight, where ink-on-paper is often too bright.
Finding current specs is challenging, but E-Ink Carta, as of 2013 (over a decade ago) was citing a 15:1 contrast ratio:
I suspect current displays are somewhat better, and I'm seeing a "50% improvement" comment bandied about but without a corresponding contrast ratio. Earlier displays had an 8:1 ratio.
In practice, displays will have worse contrast with additional layers on top of the display, such as a Wacom tablet, capacitive touch, frontlight, and any surface "tooth" treatment.
E-Paper cites a 30:1 ratio, which would be far greater contrast:
Every light in your link advertises (!) its multiple brightness and color settings. That makes for absolutely awful usability. I purchased a light like that, and it's terrible.
Give me an actual booklight where the settings are "on" and "off".
(Bizarrely, the light settings on a Kindle Oasis are barely better - since the light is controlled by an internal menu, as opposed to a hardware control, it can't be operated unless you can see the menu. This means that it isn't possible to have the light off during the day and turn it on when it becomes dark - if it's dark, and the light isn't already on, it can't be turned on. My conclusion is that there are no device manufacturers who understand how or why someone might want to use a lamp.)