The looting and rioting after the George Floyd incident (as a separate event from the peaceful protests) were not limited to commercial districts. Across multiple cities, government buildings and police stations were vandalized/looted. In an extreme case, in Portland, the federal courthouse was set on fire.

Also, the post-George-Floyd looting/rioting persisted for far more than a day. An example is the CHOP zone in Seattle, which lasted for 3 weeks before protesters were forcibly removed.

This doesn't absolve the Capitol Hill rioters either, but simply describing the BLM looting "looting commercial districts" downplays the amount of damage done. In my opinion, I think reasonable questions to ask are: over what period of time did the violence persist, what amount of value was destroyed, and how many lives were claimed during the looting.