Personally, I see your point of view as a classic example of data journalism gone wrong. I honestly find that a bit disappointing considering how useful data can be to get more objective perspectives when it is used holistically. It’s insanely easy to cherry pick bits of information to support your agrument.
The homicide rate for Black people in this country is indeed higher than it is for most other ethnic groups in the USA. Is that a product of self hate or simply a matter of poverty? In general homicide rates are higher among lower income neighborhoods regardless of race. I think you’d have to look at the homicide rates of black communities on equal economic footings with other ethnic enclaves to genuinely evaluate how much black on black violence is tied to how black people act towards one another.
If the #blacklivesmatter tag is truly guilty of being disingenuous in any way I’d argue it’d stem from it’s lack of organization and focus as a movement. I honestly see it as more of awareness campaign nowadays though. So even that criticism falls flat in my eyes.