The Soviet Union specifically pushed the idea that "Moldovan" was separate from Romanian and imposed the Moldovan Cyrillic alphabet in the MSSR while Romania itself used the Latin script. This was of course only one part of a broader [0] russification effort, alongside deportations and population transfers.
I'm also not sure how Cyrillic having been adopted in medieval times is relevant to this topic, unless you're trying to justify or connect older usages.
[0] https://en.wikipedia.org/wiki/Russification#Bessarabia/Moldo...