You get it totally wrong, where you read that Ukraine is "one of the most popular crypto-friendly countries in Europe"? As far as I know, there are no good laws and regulations that would classify this country as "crypto-friendly". It is possible that you were thinking of Belarus, which has some benefits (0% tax) and plans to build crypto mining farms near the new nuclear plant.
It does not lead to whether they mean central platforms or track transactions and currency bans.
What they can do is just block the accounts on crypto exchanges if they find some suspicious transactions, how they will block your coins in hardware or desktop wallet, maybe by adding your coin/s address to some blacklist?
There is a link from posted article which explains the new law a little better, and by that new law all transaction above $1300 will need to be conducted with obligatory KYC.