In 1922, along with other leaders of the party and the General Confederation of Greek Workers, he was arrested twice for anti-war newspaper articles and anti-monarchist activities.

In 1924, Kordatos, along with Thomas Apostolidis and Seraphim Maximus, entered the so-called "Central Committee of three people", which led the party until the III Extraordinary Congress in November and December.

[1] At the end of 1924 he left the KKE as he disagreed with after its full alignment with the decisions of the Communist International on the Macedonian issue.

The leader of the new leadership, Yanis Zevgos, launched a series of attacks in 1933, calling him a " bourgeois historian" and an "economist on the front lines of the counter-revolution."

Kordatos reacted strongly with a series of other articles which, as he wrote shortly before his death, criticized "the new leadership of the Party that roughly and schematically interpreted Leninism" while claiming "that the KKE leaders took the wrong path".