Gods Among Men?

The entire concept of Gods walking among men is in itself interesting, but what makes it more intriguing is the fact that the Gods choose who to disguise themselves from. Coming from a logistical standpoint, I do not fully understand how they choose who they disguise themselves in front of. In book seven Alcinous tells of how the Gods always appear to the Phaeacians in their true forms becuase the Phaeacians have always been loyal. If I were in the position of the Greek Gods that would entice me to appear to the Phaeacians in disguise, and I would appear to the disloyal in my true form. I would use disguises as a way to ensure the constant loyalty from the Phaeacians. Appearing to the lands who do not hold favor in my true form would help me command respect with whatever punishment they deserve. In The Odyssey, though, the Gods do the opposite and it shows the lack of authority the Gods hold on those that are not as loyal to the Gods. If the Gods were to do as I have thought, it would send a form of negative reinforcement to the Greeks and ensure a Godly command over the domains. The logic of the Gods doing this just bothered me.

P.S. I commented on Kennedy's