Maybe he confuses the Ionian coast, where Smyrna is located with the Ionian islands. The modern Laiki music is mainly derived from Smyrnaiki music with some influence from Constantinople music. I think Constantinople music is a bit heavier, more "oriental".
We are talking about dimotiki music, traditional music, the music of the villages not of the great urban centers Like Smyrna and Constantinople. The influences are more local. For example, Thracian music, particularly Eastern Romylia is more influenced by Bulgarian music than others. Epirotan music is heavily influenced by Albanian and vice versa and Greek Macedonian music is influenced by Slavic music from its neighbors and vice versa.
Arvanite music depends on what part of the country. The Arvanite music of Eastern Thrace has more to do with its neighboring Greek villages than the Arvanite music of Attiki or the Peloponnese.
https://www.youtube.com/watch?v=MuZzSN3NWiI for an example of an eastern Thracian Arvanite song. Sounds just like any other Thracian song.
On the other hand the Arvanites of Evoia song
https://www.youtube.com/watch?v=hP1QSjzUhD8
The second one has some influence from nisiotika
This is from the Epirus area:
https://www.youtube.com/watch?v=wIuEtCGiqUo
Showσ the undeniable musical idiom of Epirus and the mainland.
I am trying to make the argument that the influences are more local than grand scale. Maybe laiki music was influenced by middle eastern music but when it comes to dimotiki...eh.