I am certainly not of a mind to go back to old grievances.

I would point out however that the grievances in this case are freshly laid out and not from bad memories. Most Greeks accept that Allied overreach at end of WW2 triggered the population exchanges, and Greece was part of that overreach. The flip side was what happened in 1915 prior to the Allied invasion of Turkey. Subsequently, the Istanbul pogrom and Cyprus caused more bad feelings.

But there's something really serious going on currently as well, and it dates back from 1922. Turkey entered a peace agreement it didn't like with the allies, and it ceded the Dodecanese and some Sporades islands to Italy. Italy, after its failed invasion of Greece, ceded these to Greece. Turkey has never been happy about that, and it maintains a casus belli against Greece. Turkey threatens war if Greece assumes its international rights in taking complete possession of these islands. Greece has offered to Turkey to take these grievances to international court, but the Turks do not like the initial treaty in the first place.

In other words, Turkey and Greece have a living treaty dispute which may be all the more dangerous because of constant talk of drilling for gas and oil in the disputed territory.