There are certainly many things that urgently need to be addressed, including police racism and brutality.
But, more widely, influencing takes time, to build up relationships, and trust, and take people, especially those who are 'yet to be converted' along the journey with you. IME if you move people like that without making sure they're with you, then the backlash can be savage, because they're usually, as privileged people, powerful so can do a lot of damage, and the moment they can, they switch back to their old ways, but even worse than before, in reaction to it.
You also can't influence and then drop someone, and then come back to them years later and start again because you've been busy on something else in the meantime. It doesn't work. A consistent approach is best, to effect long-term sustained change.
It's hard enough to get resource for EDI issues as it is, though I'm hopeful that the BLM campaign will bring more people on board. Given that resources are stretched I'm very worried that the next time another serious equality issue comes up, a lot of people, newspapers, influencers, will drop BLM and move onto the next 'urgent' (or fashionable) issue, which would risk losing the progress gained for BLM too, because it takes time to truly embed that change. Ideally you could effect all the change you need, but pragmatically speaking, it won't happen quickly enough, and all it will take is another #MeToo moment or similar, for the focus to switch. It can then be even harder to get people to return to the "old" issue, because in many people's eyes, that's already been "done".
In a related issue, if you don't address inequality more generally, then you run the risk of your progress for any particular marginalised group being set back. E.g. mentioning no names, a racist leader, or someone with nefarious plans to cause trouble only for their own benefit, uses ongoing inequality and resentment to set two or more marginalised groups against each other; damaging both, and benefiting only the leader and their cronies.
Others will disagree, and make valid points too. This process takes too long, and whilst progress may be made on a population scale, a lot of individual lives are ruined in the time it takes to make the change happen. All I can say, from my and colleagues' experience from 15+ years volunteering on this, is: Marginalised groups working steadily and consistently together on EDI is the more effective way to effect and embed lasting change.