This is the easy way to do it, and no doubt, in this style it has been done. However, from what I have gathered from the short story anthologies built in this way that I have read, they're not so much about viewing the same inequity in different perspectives so much as they are about viewing the same inequity in different contexts. (Close, extremely close, but not quite the same.)
That said, I'd be wholly surprised if there hasn't been a short story anthology where each story looks at the inequity with separate perspectives. (That is, I'm certain it's been done, and I just haven't seen it.)
This is more to the point of the experiment that I'm working on. The question, though, is less about trying to get the audience reception right, and more about seeing if there is enough there to make it worth trying to get the audience reception right. All without having to connect, in some linear fashion, the four different Tales.
Many current movies that want to do this usually have something that is shared among each tale. Perhaps a jacket that walks through the scenes, or characters that are related through bloodline or knowing each other. I've seen it done with journal entries, too. The question: Can it be done without this?
Oh, and for those wondering about my experimental story, I have the MC and OS Throughlines fleshed out with the Problem(s). I'll be working on IC later this week, and hopefully I'll have enough time to get to the RS.