I think it is kind of too early for a possible unification of Cyprus with Greece. I kind of doubt that the support is big enough there to warrand a unification, plus the nationalistic spirit that came later in WW1 hasn't yet been established and let us not forget that Cyprus was an important island for the Ottoman Empire as both a resupply base and a rich territory which served to fill the coffers.
Overall, by having Cyprus unite with Greece this early you are losing a significant trump card for the later wars, and giving a huge boost to Greece.
Arguably the support was big enough for something close to 1% of the population of the island to escape Cyprus to go fight for the revolution in the mainland, despite the apparent difficulties this posed particularly in the 1820s. But what matters here is first how the actual revolt of Theseus fares and second how the international diplomacy plays out. There TTL Greece has an advantage it didn't have in OTL in the close ties of the Greek dynasty with Britain.