Doing evil because it's fun and doing evil because it's profitable are both evil. An evil alignment doesn't require you to relish the screams of your victims - you just have to decide "those lives are not as important as what I want."

If your personal morality allows you to do anything, as long as you profit from it in some way, you don‘t have any morality at all. You‘re evil.

Nah. Evil is where the harm your actions do to other people doesn't stop you from doing it. Neutral is where you wouldn't put yourself especially at risk or especially out of your way to help others, but you wouldn't hurt them either, even if it benefited you. Obviously there's a spectrum there, most neutral people would do harm to others if they had a gun to their head. Enjoying the harm you do unto others is sadism, which is separate from alignment. A good or neutral person can be a sadist, but their morality will prevent them from hurting others even if they enjoy it. In short, sadism provides a motive (of which there are many others), alignment provides the restriction or lack thereof.

Tl;dr if order a village slaughtered to take all their stuff, I don't care how dispassionate or purely self-interested you are, you're evil. If you murder people because you're paid to, and don't much care about the details, you're evil.

No. Their behavior is self interested. That's Evil. Didn't matter how they envision it or whether they have a personal code. If their personal code places the needs of others and the general welfare in a place of high importance then they are Good. Chaotic - Lawful merely describes the methods they're willing to pursue to achieve those goals.