Storytelling, both inside and outside of ring, is Chikara's biggest strength. Almost no one touches them in that department.
Also, I like to think that haters "don't get" Chikara. Watching Chikara requires a mindset in it's own entity, you can't watch the product through the eyes of AJPW, NJPW, ROH, or even Lucha. Chikara is the best shit ever when you think of it as a whacky comic book la-la land, or a Dragonball episode.