Belarus is entirely in the orbit of Russia's interests. It is part of a single economic Union with Russia. It means that Lukashenko won't be able to introduce the laws governing the circulation of cryptocurrency in the country. Putin is in no hurry to legalize cryptocurrencies in Russia and why it is safe to say that he will put pressure on Lukashenko with the aim to adhere to a unified legislation in this sphere.
But isn't it they are no longer under control of Russia? They are totally independent of each other and it Russia says no to bitcoin or crypto's, it doesn't mean that other states should follow as well. Putin will not legalize crypto in my opinion. But to put pressure on Lukashenko? I don't know how far on Lukashenko will give in such request.
He has his own roadmap for Belarus, and I think he made his decisions already to legalized and regulate it in their country. If he gives in to Putin request then it doesn't look good for his image as President of his country. For now lets consider this another win for the crypto market if he signs this into a law.