"Blue Lives Matter" went around telling press that they choose that name as deliberate attack against Black Lives Matter, so it would be unfair to their wishes to not treat it as what they want it to be?
None of these groups speak as one voice. People project meaning based on their own worldview.
A political group clearly stating their opinions is a different thing than people projecting meaning which was not intended.
Black lives matter the organization as much as one exists, has also had some fairly unsavory statements. I wouldn't necessarily attribute all of the beliefs of a group to each of its members.