The term was watered down by those wishing to do only what they want and not willing to accept the consequences that their lifestyles impose upon others.

That is quite a broad brush considering the fine line I made between anomie and anarchy.

When man creates rule systems, even if at the beginning their intended purpose is solely to give guidance, the nature of psychopaths will cause them to expand upon and eventually take over those systems. It's happened in every civilization that we've experienced.

Then it comes down to the definition and interpretation of "rule systems". I posit that every civilization ever created rule systems and that that is the "natural" thing to do - and hence the trick is to give psychopaths something less dangerous to play with than whole economies. You don't amputate an arm because a fingernail could turn black one day.

the rest of the life on the planet lives according to Nature's rules and humans are the only species that attempts to create rule systems of their own

What makes you sure that human attempts and rule system creation are not the natural extension of the natural rules all other beings follow? You can't be suggesting humanity give up its advances in technology and civilization altogether, even the aspects we welcome, and crawl back into the caves whence it came.