BLM sure gets a lot of flak for an ideology that is supposed to be about preventing black victims of police brutality. Unfortunately opposing police brutality in general, a very legitimate matter, is a very fringe movement that is fatally weaker than police unions.
BLM as the recently named ideology isn't a federally declared domestic terror threat because it is not directly tied to critical destruction of businesses.
Proximately responsible for this issue are the looters who have looted for decades long predating BLM.
Also more actively involved (or actively uninvolved) are the police who are not obligated to endanger themselves to the mob. Maybe this is due to the mob being bigger than the police, or maybe even the cognitive influence of BLM or a larger movement.
As well businesses that fail to adequately prepare and protect themselves from disasters will fail. This is just how the economy is.
Policies of gun control also hinder threatening looters with lethal consequences that would deter them a la rooftop Koreans.
In my opinion all these are more closely responsible for allowing looting than the recently named BLM movement.
Also pertinent is civil and criminal suits against looters, and why they don't occur. You primarily need evidence of who the looters are, which CCTV is only so useful for if the cameras are destroyed. Then you need detectives willing to investigate, attorneys willing to prosecute, and police willing to make arrests, all of which may very well not occur due to the influence of what I believe is some larger cognitive influence than the ideology of BLM.
Conclusively I don't think naming and shaming BLM will stop looting. Ordering police to defend businesses might, but doing so might not get you reelected. Neither will disbanding gun control. Ultimately, a small business's only hope to succeed is to not do business where it will get looted, and should they wish to stay, the former small business owners' working livelihoods will be to work for the big businesses that can survive the area. Some people will get left behind, but that is the way the economy is, always has been.