Adding some more historical context, check the bulgarian kingdom end of IX, beginning of X century. It is mentioned in the article, but not expanded to what degree the state invested in adopting, adapting, and spreading the new alphabet.
1. East-West opposition back 1000 years ago was 100% religious matter, the schism between East and West Christian churches.
2. The stance of Putin and some politicians against the West nowadays.
Spreading the alphabet back then meant spreading it in clerical writing. IIRC, Catholic church back then required doing services in Latin, while Constantinople allowed it in local languages -- hence the need for translation and that's why Cyrillic developed from Greek, the primary language and writing system of the East church.
I don't see what Putin has to do with this at all.
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.
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.
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.