Okay, I think I'm going to leave this side of the argument here. From our conversation so far, I've noticed that you take statements astonishingly literally. In fact, if not for your failure to detect what I consider extremely obvious sarcasm (that none of the other thousands of readers were confused by), we wouldn't even be having this conversation.
As you've agreed, when most people think of BLM, they think of the main organisation. So when somebody criticises BLM, it's equally reasonable to assume they're criticising the main organisation.
People looking for a "white-supremacy compliant standpoint" will find it pretty much anywhere (see my reply about skiing and knitting and being on time). I feel no urge to make my writing weaker by trying to appease people desperately searching for excuses to misinterpret it (not accusing you of this, I think your misinterpretation was genuine).
So I’ll absolutely accept the feedback that it wasn’t obvious to you. But I feel very confident in saying that it was obvious to most people.