Man, you really do live in a right-wing echo chamber. Keep in mind, these are the same people who called the January 6th attempted insurrection as heated political debate or no worse than tourists....
So, let's go over it again for the ones who have difficulty following along. BLM is not about violence. Unfortunately, people outraged by police violence did violent things as well. Do they support BLM? Possibly. But, remember, there were a number of right-wingers arrested for arson and other offences at the BLM protests in Portland and Minneapolis. As for Antifa, one of the right's favourite bogeyman, is not an actual organized group.
Now, I will say, violence tends to undercut the importance of the BLM message, which is why they do not call or support it. Peaceful protesters rarely (if ever) become violent. But, you cannot pick who joins a protest, so when violent folks join in, they all get lumped together.
This might be informative....
On who looters are, what they want, and why some protests are more likely to include them
www.theatlantic.com