I’ve been a bit busy these last days, but I haven’t forgotten! Here’s my input.
It seems that the hypothetical rule “The sum of pyramid values is the same for Black and White” works for almost all revealed koans so far, but not quite. In particular, 604 is a counterexample:
But I do think that the rule might be similar. In other words, maybe the distance of stones / chains from the center / edge is important.