UNAUTH UNCOORD PENETRATION OF CLASS D AIRSPACE BY NORAC TFC. POTENTIAL CONFLICT.

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PROB AROSE ON DEP CLBOUT; WE WERE CLRED BY THE TWR TO DEPART TO THE NE AND CLB TO 3500 FT ON A 060 DEG HDG AND; AT 2300 FT AN ACFT WAS NOTICED AT OUR 10 O'CLOCK POS (OFF L WING) AND BELOW US APPROX 500 FT TRAVELING EBOUND. THE ACFT PASSED BELOW US AND THEN TURNED NEBOUND; PARALLELING OUR COURSE; AND BEGAN CLBING. THE ACFT WAS OFF OUR R WING; PARALLEL OUR COURSE; AT WHICH POINT I TOLD THE TWR WE HAD TFC OFF OUR WING AT 3 O'CLOCK. THE TWR ACKNOWLEDGED BY SAYING 'ROGER.' THE ACFT BEGAN TURNING NBOUND TOWARDS US; AT WHICH POINT WE TOOK EVASIVE ACTION TO AVOID THE NEAR MISS. ONCE THE ACFT BEGAN TURNING TOWARDS US; I QUESTIONED THE TWR AGAIN ABOUT THE TFC; AND AGAIN THE TWR ONLY ANSWERED 'ROGER.' ONCE WE TOOK EVASIVE ACTION TURNING AWAY FROM THE AIRPLANE; THE AIRPLANE CONTINUED CLBING AND DEPARTED NBOUND. THIS INCIDENT RAISED SEVERAL QUESTIONS IN MY MIND ABOUT THE TWR'S RESPONSIBILITY. I FEEL IT WAS THE TWR'S RESPONSIBILITY TO AT LEAST POINT OUT OTHER KNOWN TFC IN HIS AIRSPACE. THIS INCIDENT OCCURRED IN THE CLASS D AIRSPACE FOR LUNKEN ARPT; CINCINNATI; OH. UPON LNDG; I TELEPHONED THE TWR TO TRY TO CLR UP MY QUESTIONS. THE CTLR'S RESPONSE WAS THAT ONCE WE RADIOED WE HAD THE TFC IN SIGHT; IT WAS OUR RESPONSIBILITY TO MAINTAIN VISUAL SEPARATION; WHICH I AGREE WITH. HOWEVER I DO FEEL THAT THE TWR SHOULD HAVE POINTED THE TFC OUT TO US. AT THIS POINT THE CTLR INFORMED ME THAT HE WAS NOT IN CONTACT WITH THE AIRPLANE IN QUESTION; EVEN THOUGH THE AIRPLANE WAS IN TWR'S AIRSPACE. IF THIS IS TRUE; I FEEL THAT THE CTLR COULD HAVE AT A MINIMUM TOLD US THAT THE ACFT WAS IN HIS AIRSPACE ILLEGALLY AND WAS NOT IN CONTACT WITH THE TWR. THIS WARNING WOULD HAVE INCREASED OUR AWARENESS ABOUT THE SIT. ON OUR INITIAL CALL STATING THAT WE HAD TFC OFF OUR WING; THE WAY THE CTLR STATED; 'ROGER' GAVE ME THE IMPRESSION THAT THE TWR WAS AWARE OF THE TFC AND WAS UNDER HIS CTL. THE TWR CTLR ALSO TOLD ME THAT HE WASN'T PAYING MUCH ATTN TO US; BECAUSE OF SEVERAL ACFT IN THE PATTERN DOING TKOFS AND LNDGS. I FEEL THE LACK OF COM ON THE TWR CTLR'S PART ABOUT THE TFC; WAS A DIRECT FACTOR IN THE NEAR MISS INCIDENT; ESPECIALLY AFTER I BROUGHT THE CONFLICT TO HIS ATTN. 2 SEPARATE OCCASIONS.