I then picked "bucha" as the query most likely the be affected by propaganda and censorship. In yandex.ru, there are propaganda outfits in the result (something called ruwiki.ru comes third), most links are of fairly direct accounts of the massacre by independent media. The AI summary says the town was "occupied" by the Russian army and "liberated" by the Ukrainian one and "После отступления российских войск в городе были обнаружены многочисленные свидетельства массовых убийств мирных жителей." On yandex.com on the other hand, the first page of results does look fairly propagandistic, including "globalresearch.ca" and "donbass-insider.com", which seem like propaganda outfits. But it also does include accounts from novayagazeta, al Jazeera a video of killings from Radio Free Europe.
While they do put either own propaganda, neither Western, nor Ukraininan nor independent media is not hidden from the results and it's not visibly de-prioritized.
Of course, I wouldn't discount the possibility that the results would look quite different from Russian territory. And, if anything, half the reason why Russian propaganda is so effective is that its self-aware and capable of subtlety when needed. "Fuck you if you can't handle the truth, this version of Biden is the best version ever." would never happen there. Unlike Scarborough, Soloviev knows exactly what he is.
Open and constant suppression of information is not the regime's usual strategy in information space (though, they'd ratchet up the level of control when they deem it necessary), which is why I knew the claims here wouldn't stand up to scrutiny.