The statement from his father's office said that he had no intention of living permanently in Greece but that it would be more common to see him in Athens visiting his mother, this was a week ago. And I think that this is true.
Regarding the fact that he intends to buy a house in Athens, I believe that this is not new and it is not completely true either.
A year ago, it was published that his father had sold the house in Porto Heli, the publication that I read had a photo of Crown Prince Pavlos and Prince Nikolaos, going to a hotel accompanied by a Greek notary to finalize the sale. This news stated that Pavlos and Nikolaos were the ones who were managing the patrimony of their father who was in fragile health. These same publications claimed that Pavlos had contacted real estate agents in Athens to seek to buy a house in Athens for his parents (on behalf of his father ).
While the Prince was finding residence for his parents, King Constantine and the Queen were living in a rented apartment, belonging to a family of shipowners... this is where Queen Anne-Marie currently lives....
In conclusion that for a year he would be looking for a house for his parents, currently for his mother.
Regarding the house of Spetses, I don't know about it. I don't know if it is opportunism to publicize this property or it is really true that he would be interested. But currently, it would be good if the royal family continued to meet, all the brothers and sisters and their families in summer...., and that they were all together with their mother... Now they don't have a house, it would be good if they bought a house to reunite the family in summer or at other times of the year.