It's about as accurate a narrative as the "the guys he shot were violent pedophile felons" narrative going around.
I don't give a damn about anything someone did prior to this incident, unless it was literally "I cant wait to shoot those subhuman commies" or "I can wait to light a fascist fuck on fire".
All that matters is what happened to lead to the shooting, and the shooting itself.
How far prior to the shoot do you consider important?
Antifa/BLM are making throwing incendiaries, that is part of the timeline, weather 30 sec prior or 24 hr prior. Not burning everything down in the days prior may have changed the actions of everyone involved.
Likewise his criminal past would be evidence of a violent nature, that demonstrated itself the night he used the "n-word" against black people, and dared someone to shoot him.