> he shot someone on the right, which are both strong evidence of left-wing motivation on their own.

I think the idea that there are two sides is one of the most toxic ideas in our politics. We associate with teams and anyone on our side must be good, and ignore things like the tyranny of small differences - the far left hates the center left more than they do the right. And there are similar dynamics on the right. Especially in obscure conspiracy filled corners of the internet.

This doesn’t mean all people on the right are bad, or the right is inherently violent! But to ignore the complex breakdown of political ideologies is to ignore the crazy ways things actually happen, not to mention the fact that generally speaking, people who commit random acts of violence like this are not coming from a politically rational place.