I'll shift you on this. There are plenty of videos of Protesters who stay in front of people trying to loot saying that all they are doing is harming the cause.
You remember that scene in Ocean's Eleven when they used the Pinch to knock out the electrical systems of the casino? And in the Bedlam of twenty seconds of the power going out, the entire casino erupts in free stealing anarchy? Yeah, it's kind of like that. People protest an idea, unscrupulous figure use it as a smoke screen to loot. That doesn't mean the protest themselves are the cause of looting. They are just an unfortunate backdrop. It's like if the love story of Titanic was real, and the main purpose of the ship going down was to make the story that more heart wrenching.
Wow. I'm doing a lot of movie References today...
Then we get to the rioters. The people who are more angry than anything else. Who were hurt, and must see others hurt as some sort necessary karma to right the universe. This, sadly, is more a part of any protest. Anger over a situation can't always be contained for every person. Should these people self regulate and avoid situations they can't control? Sure. But if it was that easy, we wouldn't have support groups for... well, anything.
But again, I don't think every rioter believes they are rioting for the right thing. I think some do. I think some just want to inflict pain because they are angry. It's hard to differentiate the two, but it's necessary to realize that all protests are not riots, just because we don't fully go along with the concept that has been broached.