Answer to this would be yes, because a lot of High Elven identification is the OPPOSITE of what Blood Elven identification is. Again, one of the words used to describe Blood Elves was "majestic". From continued participation in this discussion there is nothing "majestic" about High Elves. They have no lands, they're a minority, they assimilate with other cultures. Even their NPC Speech isn't the same as Blood Elves to equate how different in personality they are.
They dress themselves up in Silver/Blue/Brown colors very much antagonistic to the Gold/Red/Greens of Quel'thalas and Blood Elves. Blood Elves themselves think to be above most races, the High Elves on Alliance do not by virtue of assimilating to many different cultures like Humans, Draenei, and Dwarves.
I mean heck, even in BFA one of the High Elf representatives (Frostfencer Seraphi) doesn't wear a shirt for goodness sake and the rest of his clothing is mere rabble. Unlike the very fancily robed/armored Blood Elven Team. Even the Void Elf team themselves are very elaborate compared to Seraphi.
You talk about what can't be available to Blood Elven players, that's as easy as how only Moose Antlers aren't available to Mulgore Tauren but nothing stops a Mulgore Tauren from having the same furs, tattoos, faces, etc. What this means is that per precedent there need only be ONE differentiating factor and by example of Highmountain Tauren and Mulgore Tauren, and Lightforged Draenei and Draenei it need not be skin color (as both Allied Races here have skin tones available to their Parent races in some fashion).
Then for High Elves the only differentiating factor need only be one of the following: Tattoos, Feathery hairstyles/adornments, Their non-glowy eyes, a beefier build.
Just because High Elves originated from Silvermoon doesn't mean we can't find High Elves from elsewhere that have differentiated due to the environment they're in. This is how Mag'har came to be, we first are exposed to them on Outland aka Broken Draenor, that doesn't mean we must receive the Mag'har from that moment (we in fact received Mag'har from before that moment even occurs).
The issue with a lot of your arguments is that you attempt to apply "rules" to why High Elves as if they are rules that must be applied to Allied Races and when we attempt to employ those "rules" to existing Allied Races it very easy to see how those "rules don't apply.
I would actually say it is a more troubling connotation that it appears "the white skin elves" must be the ONLY white skin elves in the game and that we apparently aren't allowed to have others with similar skin tones as the reasoning seems to imply "it will make the white skin elves feel less special" yet the same concern doesn't appear to hold with non-white skin tone elves (aka blue/purple elves).