FNT APCH CTLR ADVISED TFC CONFLICT AFTER CONFLICT HAD OCCURRED.

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SAGINAW APCH HANDED ME OFF TO FNT APCH. I WAS THEN ASSIGNED A NEW SQUAWK. FNT N HANDED ME TO FNT S. I WAS IN LEVEL CRUISE AT 5500; HDG 180. FNT CALLED AIRLINER TFC; 11 O'CLOCK; 8500; DSNDING. WE ACKNOWLEDGED CONTACT OF EACH OTHER. ABOUT 3/4 MINS LATER; AN SMA X CALLED FNT. ABOUT 1 MIN LATER; THE X APPEARED TO MY R; SAME ALT; ABOUT 100 FT AWAY. IT WAS AFTER SUNSET; HAZY; AND ALTHOUGH VISIBILITY WAS 10 MI; THE HAZE AND LACK OF LIGHT MADE SEEING BELOW THE HORIZON DIFFICULT. THE X ALSO HAD NO LIGHTS ON; AS IS REQUIRED AFTER SUNSET. ABOUT 10-15 SECONDS AFTER I VEERED L; THE CTLR CALLED TFC; I BELIEVE SHE SAID 12 O'CLOCK 1 MI. THIS WAS AFTER HE HAD PASSED. I SAID AT THAT TIME 'WE JUST PASSED HIM.' AFTER COLLECTING MY THOUGHTS; I WAS VERY UNHAPPY ABOUT THIS. THERE WERE 4 THINGS ON MY MIND. WHY DIDN'T THE CTLR WARN ME? WHY DIDN'T THE X HAVE LIGHTS ON? WHY DIDN'T I SEE HIM SOONER? WHY WAS HE AT WRONG ALT FOR HIS HDG? WHEN THE CTLR TOLD ME TO SQUAWK VFR 5 MIN LATER; I SAID 'YOU SHOULD OF CALLED THAT TFC. HE WAS SO CLOSE.' SHE SAID 'HE JUST POPPED UP. WE DO THE BEST WE CAN'; WITH THE HINT OF A BAD ATTITUDE. CONCLUSIONS: THE CTLR SHOULD HAVE SEEN THE CONFLICT WELL BEFORE THE X CALLED HER; I DON'T BELIEVE HER STATEMENT THAT HE 'JUST POPPED UP;' I THINK THE PRIMARY OR 1200 CODE TARGET WAS THERE ALL ALONG; INCLUDING ALT. THE CTLR DID NOT USE PROPER TERMINOLOGY (EVEN IF IT WAS AFTER THE TFC PASSED). I BELIEVE THAT 'TFC ALERT' OR A MORE URGENT WARNING WAS DUE. NOT 12 O'CLOCK; 1 MI. BEING UNDER RADAR ADVISORIES GIVES FALSE SECURITY IF THEY DON'T HAVE THE TIME OR THE CAPABILITY TO CALL TFC; THEN THEY SHOULDN'T TAKE YOU! ADVISORIES SHOULD EQUAL RESPONSIBILITY. THE X MAY HAVE BEEN IN A CLB; AND UNDER MY NOSE; BUT IF HE WOULD'VE HAD LIGHTS ON; RECOGNITION WOULD HAVE BEEN SOONER. THE X SHOULD HAVE BEEN ABLE TO SEE ME; AHEAD; ABOVE; WITH POS LIGHTS AND TAIL STROBE OPERATING.