The Lone Ranger's mask is called a Domino mask, as I discovered while I was idly thinking about a redesign for a mask for a character with Domino in his name. Here are some variations.
https://www.etsy.com/listing/162922893/leather-mask-the-spirit-half-domino-mask
But the Mask in the strip on that site, is not a domino Mask,so it can't be the original, the one they objected to.
I don't know that I'd call the Lone Ranger's mask (or the Van Williams TV Green Hornet mask) a domino mask. AFAIK, a domino mask is like the smallest mask possible -- like The Spirit's mask (basically just a figure-8 or infinity symbol with thin strips on the sides to tie around the back of the head. Or a generic's burglar's mask. Or (usually) Robin's, or Green Arrow's (but not Green Lantern's). I think it's called that because if you look at an actual domino that has 2 dots on it, that's the gist of the idea. But since the Spirit never had any variations on his mask, I'm going to say he's what I'd point to when someone asked me "What's a domino mask?"
The Lone Ranger's mask, which covers his nose (at least in the TV version, although I've seen variations that have no piece covering the nose), or the TV Green Hornet & Kato's masks, or Green Lantern's mask, is more like one of those generic masquerade masks that you can buy cheaply at just about any store when it's approaching Halloween season. The eye-holes are relatively smaller compared to the total area of the mask itself, and it covers more of the face than a domino mask. At least as I understand "domino mask" to mean -- you can't always count on product vendors describing something like that accurately.
I guess by 1939 The Lone Ranger was well-established as having a mask which covered the upper half of his face, while what Trendle envisioned for the Green Hornet was a mask that covered the *lower* half of his face, below the eyeline. Which is weird and kind of inverted, since most most masked outlaws in the Old West seem to have wrapped a bandana around the lower half of their face to hide their identities, and very few 20th Century heroes followed that trend (apart from DC's Vigilante) -- but then the Hornet was *supposed* to be playing the part of an outlaw, so maybe that's what Trendle's hang-up was.