Russian society of the selectively blind and dissociated functions both ways. If you get arrested and tortured for protesting the war - 99,9% don't care, if a residential building in Belgorod gets hit, the Russian state can scream terrorism all day long, 99,9% don't care.

Decades of authoritarian conditioning - "buy expensive stuff and don't be interested in politics or the world around you", has produced such an effect that Putin doesn't need to organize false flag operations, since the Russian society as a whole will not respond to it, it's numb

This war is being fought in Ukraine, it's time to stop spending mental energy on what the pacified Russian society is thinking and to focus on what Ukraine needs. Whatever happens in Russia along the way would be a latent consequence, beyond control of any exterior actors.