PBS Space Time (on YouTube) makes a reasonable attempt at teaching non-physicists how GR actually works. I'm probably smarter than the average human, and I can't follow half of it.

Writing an accurate "popular" article about GR might be impossible, because the topic is so far beyond human experience that only a fraction of the population could ever hope to hold it in their heads.

You can teach people that the concept of "now" is observer-dependent, but as long as we're stuck on Earth, that information is pretty useless. Software engineers working on stuff like global databases and video game synchronization might benefit somewhat from that way of thinking, but they're about as uncommon as physicists.