What's your basis for saying that so generally? It's probably true for a war of aggression that you're losing, but I'm not sure if it would hold for one you're winning.
Also, I suspect you're also probably making an assumption that a democracy will invariably settle on an ideological outlook similar to elites in present-day western democracies, but I don't think that's very solid.
Second is maintaining the propaganda about Ukraine in the face of free information. It's not like the Vietnam war where culture and language was very different and other, especially at that time when people were not so globally connected. It's more like America invading Canada. Similar language, shared culture and history, large numbers of people of each country in each country etc. I think if the war could be talked about in Russia there would be a pressing question: why the f are we there, what will we even gain? The gain is for Putin to maintain power, a democracy wouldn't see any benefit. Maybe there would be another reason, but that's not what we're discussing.
not 'losing or winning' but upholding the principle of 'no aggression' is what is (hopefully) popular?
He was instrumental in the neo liberal conversion of the Soviet union.
("democratically at home and ruthlessly imperialist abroad")