You heard them in Limassol? You live in Limassol and not the earthly paradise of the north? That is a surprise!
Total demilitarisation of the whole island has been a the constant demand of the GCs since the 1970s. It has been endorsed by every president and every political party since. Total demilitarisation means total, no Greek, Turkish or British troops to remain on the island and no national guard. The primary opponents of this have been the Turks with their insistence on a permanent military presence, and the British who see their SBAs as non Cypriot territory and therefore exempt from any agreement, though they featured mightily in the Annan plan.
And naturally, if Turkey maintains troops then Greece will do the same and we are back at square 1, with the two "guarantors" armies drawing up contingency plans and the British "monitoring" them both.
During the Annan days I heard Akinci give an interview on Greek TV. Beyond his affability I did not see anything that revealed any understanding of the other side's concerns with that plan.