FamilySearch has the Armenian version of the town names in the list (maybe not all of them..):
You can see it under alternative names (in this case I searched Yerevan). I get Երեւան..
Should that not mean that it should show up in our list?
Then again when I put in the Armenian version of the name in their family tree then it only offers the English version.. and when I do the same with a Swedish place name I get the name with Swedish letters so I suppose they prefer you to use the western alphabet in their system.. I get a lot of errors on the Swedish place names still, theres åäö missing in the place names, or they have missed Östra/Södra in the town names, which is part of the name itself not just indicating if it was the East/South part of town. But they are extremely responsive when you send in a correction/feedback to them, maybe you should simply contact them via the "Provide Feedback" button on the bottom of the place list (left bottom side). And ask if it is not possible to have the Armenian alphabet show up in the results.
I'm no expert but I would definitely try it. Doesn't hurt to ask.
I'm not sure how fast it shows up here though, because I am pretty sure some of my recent corrections at FS is missing when adding it here on WT..