[barrysteve]

The wiki article says most of what you cover. People were killed in ukraine and the wider surrounding areas too. It has a whole section for the genocide question.

Proving a political apparatus intended to genocide another race of people, is difficult. A competent politician will not record, share or allow that intent to be officially existant.

In popular culture, Joe Biden has cheapened the domestic meaning of the word genocide.

It used to be an existential threat to the whole west post-ww2 and now he is describing the russia-ukraine war in these terms.. probably accurately to some degree. But nonetheless genocide is on-the-table as a term people share liberally around when talking about small wars, in popular culture.