Of course I'm sceptical of anyone selling something very cheaply. I would be silly not to be. If I just want some generic, LEDs, not fussy about the colour or chemistry, then eBay/Ali seem ideal, but as I'm after something more specific, it's more tricky.
But InGaN green LEDs aren't anything remotely exotic these days. If anything, they've already significantly displaced traditional green LEDs. In every LED assortment I've ordered from eBay, the green have been InGaN. (But of course, they're also usually either SMD, or THT with stupid clear housing.)
I thought the store I linked to above looked decent, as they specialise in LEDs, until I noticed they specify the same brightness for all LED colours. Do you know of any sellers of InGaN diffuses green LEDs, who are good and will not sell me the crappy yellow-green ones?
That's a general component vendor who sells a few LEDs. Not an LED specialist by a long shot.
With that said, if you look at their other LEDs, they are listing different brightnesses per color. It is (distantly) possible that the diffused ones, being intended as indicators, were actually selected to have the same brightness.
The best LED vendor I've found so far is
https://chelead.aliexpress.com/Everything I've gotten from them has matched the specs perfectly, packaging was good, and the selection is spectacular (nobody else carries even distantly as many white LED displays, for example, nor the 1-2mm thin LEDs). Anyhow, this store generally refers to the traditional yellow-green ones as "green", "light green", or "green 570nm", and the InGaN ones as "pure green". They have diffused InGaN green LEDs in diffused white (milky), diffused green, with and without flanges, in various sizes…
Even so, they suck at listing the chemistry (they list everything as being AlGaInP, which is plainly incorrect). But the colors and voltages have all been absolutely correct in my experience. (In general, if a vendor is savvy enough to distinguish between yellow-green and other shades of green, and lists the wavelengths, you're not going to get surprised.)
Another vendor that looks promising, but which I've never ordered from yet, is the one with the hands-down most bizarre name of any electronics supplier I've ever seen:
https://molesmell.aliexpress.com(I wonder how much that name costs them in sales. And if they even realize what it means in English.

)
Firstly few LEDs sold as UV from eBay/Ali are actually UV. They're normally deep violet, around the 400nm to 420nm mark. This is not an issue in most applications, as it will still make most florescent materials glow brightly and the human eye isn't that sensitise to such wavelengths anyway. It's also much safer than real UV.
Well, they're usually listed as 395-400nm. Better vendors have quite granular wavelengths, from 400nm all the way down to even the mid-200nm, though the price increases
dramatically the farther you go.
What counts as UV and what as violet seems to be a matter of opinion, as one sees various different cutoffs (heck, just within wikipedia, there's massive disagreement between pages). Without question, 395nm is right up at the longest wavelengths of what can be considered UV. But it's certainly not visible violet!
Interestingly, if you search for e.g. 430nm LEDs, which are definitely in the true violet range, you find plenty — but only the high-wattage kind for illumination and glue curing. But never small indicator-style ones.
Secondly, how do you know the Christmas lights aren't actually deep violet, rather than phosphor converted?
Because I own some, and they're nothing like the UV or pure violet LEDs. It's not the feeble glow of UV LEDs, it's a rich, bright purple. (And one that is easily split by a prism into its constituent blue and red.)
The other clue is in pictures: the UV LED epoxy tends to glow a pale whitish blue, while pictures of the PC purple tend to show the epoxy as being more purple to pink. (Just like in real life.)
Finally, have you actually tried messaging your favourite LED seller, asking them if it's something they can source?
Nah, since I'm just a hobbyist. I wouldn't be ordering enough volume to warrant them custom ordering them. (If they had them at hand, they'd already list them.)