The Cossack Hetmanate was basically a military junta, and a complete subject. It's wiki article states that "Establishment of vassal relations with the Tsardom of Russia .. is considered a benchmark of the Cossack Hetmanate." The Christian Orthodoxy prevalent throughout the area has a very specific culture of religious primacy. So no.

It did have good points too, but, this infographic couldn't be much less correct.