I agree in part. You could read Epictetus as saying "just try not caring about people," which I think is the incorrect reading. Instead, I think he's saying something like "take a step back and realize that your deep personal attachments don't look so important when you step outside your perspective. You can use this realization to help get past the deep emotional pain that is normal for people to feel."
However, the line about other's indifference I think can only be read as dark funny to a modern reader:
> has someone else's child or wife died? There's no one who wouldn't say 'So it goes.'
The world being indifferent to your pain is not helping if you're in acute pain. Step outside your perspective, sure. I guarantee you this will not work if you have real issues like physical pain due to terminal cancer.
Our environment is simply far less brutal. This is closely aligned to the mentality of people in war torn countries, to the present day.