Why do you say necessarily? The conception of God as an omnipotent creator and ruler of the universe doesn't seem to include this condition, and Biblically the commands to obey Him, that is to be "good", were predicated entirely on recognition of His all encompassing and irresistible power. It seems to me Socrates' argument in the Euthyphro is entirely apropos.
... and "mute" s/b "moot" !
I tend to agree with Socrates because of the situation in Genesis with Adam. The only “sin” that existed in the Garden of Eden was the command to not partake of the fruit. There was no other “sin”, no other laws. As far as I can tell, Adam was in complete control and could have done anything he wanted, and I mean anything. God is the ultimate arbiter of what is sin and what is not.
On the question of "this condition," Socrates/Plato regarded the One God Beyond the Cosmos as Absolute Good, Truth, Beauty, Justice, and Love. And all this, roughly 400 years before the Incarnation of Jesus Christ.
The Euthyphro is not an attack on the One God of the Beyond: It is a monumental indictment of classical Greek polytheism.
The Olympian gods, like man, were created beings; unlike man, they were immortal. Socrates/Plato sees them as if they were "man writ large," what with all their quarrels and jealousies amongst themselves. He hardly found them to be good "models" for just, upright, truthful human living. In effect, Socrates died because of this insight....
Dr_lew, with all respect, I don't think you have completely grasped what the Euthyphro is saying. My conjecture is you are looking at the dialogue through the lens of a 21st-century atheist. In the process, you are anachronistically "backloading" a whole lot of contemporary "crappy thinking" regarding the divine onto Plato's work that probably would have appalled Plato.
The divine appeal to man is couched in the language of love.... Man responds accordingly — or not, as the case may be. But to suggest that man "complies" with God because he fears God's power is a slander against both God and man.
Or so it seems to me. FWIW.