At first, I think the behaviour of the Athenians within the Hellenic Summakhia will not differ greatly of what occured with the Delian summakhia. But maybe, Athens could be more tyrannical because of the euphoria of victory.
Anyway, there is still a risk of social war, and this risk will surely be used by the Persians.
If the social war breaks out, Athens would have a better position than Sparta during the Corinthian war and than itself during the OTL social war of 357-355. Nonetheless, concessions will be necessary about the political structure of the League.
We would end with a League at mid-way between the first and second empires.