No, about public philosophy.Your thread is about Socrates.
Socrates is only a character in Plato's dialogues, and therefore represents Plato in a very substantial way.
Your OP implies we should look to Socrates as our teacher.
Socrates/Plato rejected the moral relativism of the Sophists, because Plato believed truth, justice, beauty, virtue were objectively real and eternal, and we could discover their ideal forms through the dialectic process.