"LED display" term is commonly used for LCD displays where backlight is also actively controlled to increase dynamic range.

Backlight control for dynamic range is common, but not necessary for being an “LED display.” It just means the backlight uses LEDs instead of CCFLs like they used to.

Thus the distinction "pure LED" in my previous post.

That there are plenty of deceptively labeled LCDs does not mean there are no actual LED displays.

There is nothing deceptive about LED backlit LCDs, they are an important upgrade over CFL backlit LCDs.

I've seen a fair few TVs with LED backlit screens, advertised as LED displays. Which what I think was meant by "deceptively labeled"

It's a display and it "has LED". Given a clean slate language reboot for today's technology we would probably reserve the term "LED display" to "LED per subpixel" models and call LED LCDs "LED backlit", but the term got into widespread use when the backlit kind was the only one available so that's where we are now.

LCD displays where backlight is actively controlled probably still draw more power when displaying black than white

They are not uncommon on laptops, and quite common on phones. And, I have a couple on my desk at the office.