Plato, not Socrates, wrote the Euthydemus.
Philosophers and historians do not generally consider Plato's dialogs to be decisive as to what Socrates said or did, and it is generally accepted that Plato put his own ideas into the mouth of the character he called "Socrates."
Only when there is corroboration from independent sources do the researchers tentatively hold that such-and-such was probably said or done by Socrates, as he never wrote anything.
Petitio Principii. You have yet to establish that there is anything dubious about the link, but are tacitly asking us to proceed on the assumption that you have.