Perhaps there is a moral obligation for people with privilege to engage; but it's clearly not a practical necessity for change to happen. Given the lack of progress in Black civil rights ever since the 60's; as this discourse around "we all must participate!" has strengthened, it is far from clear that it is helpful.
I propose that the other way is best. Live your life, respond with genuine outrage when injustice crosses your path, and don't feel like media consumption fixes anything.
I fully agree media consumption doesn't fix a whole lot, and certainly not in today's media environment, I merely advocate for staying informed and engaged enough to discover a useful way to make impact. I want to live in a world where we mostly just live our lives as we please, but society's state right now is such that I don't think it will let us off that easy.