Sure, I mean you’re kind of right there with the comment about Socrates being known for his method as compared to his contemporaries. But the key is that his method is seen as such a radical departure that he is typically considered the “first” philosopher, with other Greek thinkers before him lumped into the category of pre-Socratics.

https://en.wikipedia.org/wiki/Pre-Socratic_philosophy

This is a narrative though, and of course the actual history of philosophy is more complicated. But at least in academic philosophy, the order of teaching and categorization usually goes pre-Socratics, then Socrates and Plato, then Aristotle.