AN APPARENT OP DEV IN APCH CLRNC INTERP. VISUAL APCH TO WRONG RWY.

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AT THE END OF MY INST FLT FROM GRAND CAYMAN AT APPROX XA45 PM ON THE DATE NOTED ABOVE; MY CTLR STATED TO ME ON FREQ; 'CLRED FOR THE VISUAL RWY 9.' WHILE ON FINAL I SAW ANOTHER AIRPLANE LNDG ON RWY 27. I CALLED BACK THE CTLR TO ASK WHAT WAS GOING ON AND HE SAID; 'ARE YOU TALKING TO THE TWR?' AND I SAID NO SINCE OF COURSE HE HAD NOT HANDED ME OFF. HE THEN TOLD ME TO CLB TO 1000 FT WHICH I DID; AND CALL THE TWR WHICH I ALSO DID. WHEN I CALLED THE TWR HE ASKED ME; 'WHAT ARE YOUR INTENTIONS?' I SAID 'I WAS CLRED FOR THE APCH AND SOMEONE WAS LNDG ON RWY 27.' THE TWR CTLR INFORMED ME THAT I HAD NOT BEEN CLRED FOR THE APCH SINCE HE HAD NOT YET SPOKEN TO ME. I; OF COURSE; DID NOT ARGUE WITH HIM BUT PROCEEDED TO FOLLOW HIS INSTRUCTIONS AND LANDED ON RWY 9. WHILE I DON'T KNOW WHAT HAPPENED WHEN THE RADIO WAS NOT ON; IT SEEMS TO ME THAT THE APCH CTLR PROBABLY SPOKE TO THE TWR CTLR AND THEY BOTH KNEW FULL WELL WHAT WAS GOING ON; I.E.; THE APCH CTLR CLRED ME AND THEN FORGOT ALL ABOUT ME AND WAS SURPRISED WHEN HE NOTED I WAS STILL TALKING TO HIM. THEREFORE; IN THIS INSTANCE 2 CTLRS APPEAR TO HAVE BEEN WORKING THE SAME RWY WITHOUT COMMUNICATING WITH EACH OTHER. IT WAS A BUSY DAY WITH A LOT OF INST FLTS IN FROM GRAND CAYMAN DUE TO THE PVT GROUP FINISHING UP A TRIP; AND SOME CONFUSION IS UNDERSTANDABLE. HOWEVER; THE CTLR SHOULD BE HONEST WITH THE PLT; ESPECIALLY WHEN CREATING A SIT THAT COULD CONCEIVABLY LEAD TO A SERIOUS INCIDENT.