Perhaps, but Democrats tend to dismiss the facts that lessen Floyd's innocence. He was not exactly a model citizen. Also, Democrats tended to dismiss the complicating factors like Floyd's drug overdose effects that he was suffering even before the knee was placed on him. They also tend to dismiss the hostile crowd reaction that kept emergency services from reaching Floyd in a timely manner and which caused the police to act defensively.
In short, racial tension isn't a one way street. Bad behavior is common among police, suspects, and protesters.
To me, the big picture is looking at who benefits most from the working class fighting amongst itself over things like race, sex, orientation, and gender identity.