As you state, you see true beauty in the geometrical shapes such as the sawastika, but the abuse of astrotheology has made it evil.
Just as this knowledge likely began with the Seth and passed on to his children, these were supposedly Gods gift of knowledge to man and were ment to stay close to that connection.
Once upon a time this knowledge needed to be hidden from evil men, hence the beginning of occult, which is as you say, hidden knowledge. So the gnostics, mystics, magi, etc kept it close, so mankind could continue to use it for good as opposed to evil.
But therein lies another issue, although the intention is to keep the knowledge for good, man was still the keeper and no man is safe from sin, and therefor used this knowledge for evil. Not so much the power to destroy as much as using it for the power of control. Secrets are never the way to enlightenment.
Jesus Christ and many others acknowledge the occult and this valuable spiritual knowledge in the Bible, but gives advice worth noting.
All the counsel you have received has only worn you out! Let your astrologers come forward, those stargazers who make predictions month by month, let them save you from what is coming upon you. Surely they are like stubble; the fire will burn them up. They cannot even save themselves from the power of the flame. Here are no coals to warm anyone; here is no fire to sit by. That is all they can do for you—these you have labored with and trafficked with since childhood. Each of them goes on in his error; there is not one that can save you. (Isaiah 47:13-15)
I think one can get consumed in the mathematics, which i doubt can bare much fruit to their spiritual enlightenment.
What fruit may come from the stories involved with astrotheology? Personally, I think it is a spiritual maze, to get lost in, perhaps falling away from perhaps the only savior. I dont disagree with the study of it, but one must be careful not to be consumed.
How does the stories explain the neccessary opposing force of good? It must exist yes, but what advice does it aide to man regarding good and evil. I hope it isnt to embrace both.
I studied quite a bit of freemason literature. It was actually what enlightened me. Not to astotheology, but Jesus.