O.K. I'm happy to see native people at last reacting to my editions, because it is quite tiresome to do so and find all necessary sources in Kazakh. Sometimes, I find only one source stating the Kazakh name. 
As soon as I find it, I always add Wikidata and Wikipedia so there is no doubt. Sometimes I find Russian names with Kazakh prefixes.

Anyway, it would be ideal to do like in Belarus: the Kazakh name in name=* and name:kk=*, the Russian name in name:ru=* (of course, sometimes it can be identical to the Kazakh name, especially in Northern Kazakhstan) and the Kazakh Latin name in int_name. 
Nevertheless, regarding int_name, when I talk to my Kazakh acquaintances, they seem to be a bit lost on which is the current version of the Kazakh Latin alphabet. When I ask if У becomes W or U, does Ы become I or Y, they seem to be a bit lost and contradict themselves (just as with those names in the mountains!). However, it is still better to do it (and not to leave it "as is" with bad Russian transliterations or English names that should be in name:en=*), so the map gets readable for tourists not reading Kazakh Cyrillic (especially given the last news I read regarding a full transition to Latin up to 2030). Of course, such small details can be changed when the Latin alphabet issue gets sorted out.

I also see other issues on Kazakh OSM:
1) New roads not drawn at all and streets not drawn in villages or towns (better to draw a dirt road than not drawing anything!)
2) River paths not matching the satellite images
3) Lots of old names that have been kept despite having been changed in the 90s (I always do the appropriate changes and put the appropriate notes when I see those)
4) Street or village names only appearing in Russian while they are in Kazakh on the spot. Same goes for addr:city, addr:street and so on. Even Russian Yandex maps and US Google Maps don't do this anymore!

Would you be able to help me with this, Kirill?