Turkey has every (legal and Constitutional) right to interfere with the Republic of Cyprus as long as the GCs are (and remain) operating under the original 1960 constitution as they did not dismiss it after the 1974 conflict and declare a new constitution based on let’s say the Greek Cypriot Republic (which they could have done, and can probably still as I have no doubt they’d be recognised by the EU if they should suddenly chose to declare Greek Cypriot Independence of the South of Cyprus!).
Unless the GCs dismiss claim to the original partnership 1960 constitution of the ROC or agree to Solve the Cyprus issue under a Two State resolution with two new Constitutions, Turkey’s Partnership and Sovereign rights similarly to the sovereign rights of the UK with their two bases can not be legally dismissed or ignored. Obviously, I’m no constitutional Lawyer (!), but any ignorance to this reality then I would say the GCs can always expect Turkey to interfere when it sees constitutionally fit! Especially issue concerning Oil Exploration off the Cyprus coast no matter whether it's off Paphos or Karpaz!
If there's no Solution, then there will always be Turkey. The original Cyprus Republic of formed under an agreement involving Turkey, Greece and the UK - Period! Please re-read your own constitution, but not the part that have changed since 1960!!!! Treaty of Alliance, Guarantee, 1959 Zurich agreement, etc, etc....read,...read,...read.