Not really, they had separate flags but in reality they were completely subordinate to the central government. Local languages such as Ukrainian and Lithuanian were repressed.
Also they were named "Lituanian SSR" or "Ukrainian SSR" unlike on the map.
I'd say that's exactly when this map was made. Before the official reuninification but when the USSR was already falling apart, with these countries quickly becoming separate.
It's not a very good map no matter the exact time period
Thats's gonna be one hell of a cleanup.
Still better than mines tho.