This is not true and their organization has been so effective at defending this claim I'm at the point I believe BLM is a foreign intelligence operation. We can evaluate the claim for helping black lives directly:
https://blacklivesmatter.com/what-we-believe/
The one thing that many black children lack (ostensibly due to the Democrat-led policing efforts of the early 90s) is fathers. More black men are in prison than any other race.
One is left wondering how "dismantling the nuclear family" and "creating villages" is going to solve this and improve the situation.
How does helping homosexuals improve the lives of blacks? There are other organizations that do that.
Destruction of the nuclear family as a tenant certainly seems
depleting.
This sounds an awful lot like what you hear from radical islam. A lot of mentions of "struggle" as well in the above link.
You see "Black Lives Matter" is a very cleverly designed psy-op. A kind of psy-op that only a top end advertising firm or intelligence agency could come up with. If you disagree with BLM it's assumed you don't think Black Lives Matter. Similar to the old police interrogation question "when did you stop beating your wife?" The only answer is to not answer and silence is how this radical group of marxists gains power.
By the admission of their own leaders they are trained marxists. They are operating under the theory that black people are uncriticizable because they are not white. From there, they simply push their marxist dogma and violence anywhere they can.
They are extremely well funded, and well trained in disruptive "rules for radicals style" assaults on democracy. No group of concerned citizens could organize the burning of an entire town less than 8 hours after an alleged "police-on-black shooting". The fear they induced overnight in businesses, towns, and states was incredible. Overnight there were banners painted, signs erected, and streets named in honor of this group of radical marxists. The FBI, NSA, and CIA would be wise to look into this group, their leaders, and their sources of funding to determine if foreign intelligence operators are using BLM to have a proxy battle in America.