Amorality is just a side effect...
What does "Through Satan" mean? Every Satanist who is also a thinker will ponder a question along those lines. Anton LaVey obviously did. That's why he wrote the Nine Satanic Statements. He needed to articulate what Satan represents. That wasn't a rhetorical device. It's the beginning of the Satanic journey, not just for Anton, but for everyone.
Here's my own articulation, which I offer as an example, not as any sort of final answer for everyone:
1. Satan represents never lying to yourself.
2. Satan represents the very good chance that everyone else may be lying.
3. Satan represents the art of reading people.
4. Satan represents the utility of knowing what buttons to push.
5. Satan represents accepting that anyone can become an enemy.
6. Satan represents expecting the universe not to care.
7. Satan represents the absurdity of justice or mercy after death.
8. Satan represents the wisdom of jealously guarding your freedom.
9. Satan represents the love of strength.
10. Satan represents delight as the North Star.
11. Satan represents putting yourself and what you hold dear above all else.
12. Satan represents never underestimating human stupidity.
13. Satan represents smartening yourself up.
14. Satan represents indifference to other people's opinions.
Meditating on statements like the ones above can refashion the psyche in Satan's image.