Yes, spreading the language creates a lot of opportunities. But not the script. Tadjiks are taught Russian. Both languages use Cyrillic, but in another country with different language but same script, you'd be almost as helpless as transitioning between Cyrillic and Arabic (Iran, which has Farsi, which is almost identical to Tadjik).
And in this regard, the west should be happy: Russia has poor culture of spreading its education. In Central Asia, Turkey has put a lot more effort in building and financing its schools and universities, where they teach English and Turkish. Putin's Russia is just ridiculous in this sense: it keeps "Houses of Friendship" with balalaikas, bear mascots and free vodka on holidays.
One of my friends hitch-hiked from Russia to Iran in the mid-2010s. Despite the countries being sorta friends, he had to speak with the local in broken English, not Russian. That's just ridiculous. Another friend hitchiked to Tajikistan, and there they do learn Russian at schools and can have a bare minimum of a conversation.
During the USSR, the Soviet government pushed the cyclic script on populations that speak very different languages, sometimes forcing them to abandon other scripts, i.e. arabic. Same during the Russian Empire.
Some Central European countries adopted the Latin script as a part of their alignment with Rome, and thus making a stronger political alignment.
Scripts and languages are very powerful political tools. In many cases what script a language uses is not a coincidence but a result of conscious choices and policies at some point.
In these examples, political will and power came first and brought scripts after them. And in all examples, literacy was miniscule.
Also, this would mean that countries using latin, like Indonesia, should be more pro-Western. I guess there might be a correlation, but a tiny one.
Although, same script does help readability and translating things, I'm sure current emphasis on Cyrillic by Russian government (while I lived in Russia, I haven't noticed it at all) is just because it's another occasion to remind the narratives. Not because it's such a super powerful tool. At least, in Russia, in late 80s early 90s, pro-Western narratives spread easily, despite everything.
And in this regard, the west should be happy: Russia has poor culture of spreading its education. In Central Asia, Turkey has put a lot more effort in building and financing its schools and universities, where they teach English and Turkish. Putin's Russia is just ridiculous in this sense: it keeps "Houses of Friendship" with balalaikas, bear mascots and free vodka on holidays.
One of my friends hitch-hiked from Russia to Iran in the mid-2010s. Despite the countries being sorta friends, he had to speak with the local in broken English, not Russian. That's just ridiculous. Another friend hitchiked to Tajikistan, and there they do learn Russian at schools and can have a bare minimum of a conversation.