LTT MADE TKOF WITHOUT CLRNC FORCING GO AROUND OVER INTERSECTING RWY.

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SDF TWR CLRED LTT X TO TAXI TO RWY 11. I ASKED MY SIC TO VERIFY RWY BECAUSE ATIS INFORMED RWY 29 IN USE. SDF TWR SAID RWY 11 IN USED BECAUSE THEY SWITCHED RWYS. (ATIS AT SDF USUALLY RPTS WHEN MULTIPLE RWYS BEING USED.) THEY ALSO SAID CROSS RWY 19 WHEN TAXIING TO RWY 11. WHEN LTT X WAS APCHING RWY 11 APCH; AN MLG IN FRONT OF US PULLED OFF TO THE SIDE TO LET US BY. SDF TWR CLRED US FOR TKOF; SO LTT X TOOK OFF. SHORTLY AFTER TKOF; TWR SAID WE JUST MADE AN UNAUTH TKOF. WE DID NOT RESPOND IMMEDIATELY BECAUSE WE WERE CONFUSED AT THE COMMENT. I RESPONDED TO THE AFFECT THAT THE TWR DID CLR US FOR TKOF. SDF TWR SAID; 'NO;' THAT THERE WAS LNDG TFC FOR RWY 19. WE THEN PROCEEDED AS FLT PLANNED. NO EVASIVE ACTION HAD TO BE TAKEN TO MY KNOWLEDGE; AND TWR DID NOT INFORM US OF THIS SO-CALLED UNAUTH TKOF UNTIL AFTER AIRBORNE; WHEELS UP. FACTORS CONTRIBUTING WAS NOT KNOWING MORE THAN 1 RWY IN USE; OR OTHER TFC IN PATTERN . THIS SITUATION COULD HAVE BEEN AVERTED IF THE TWR AS IT SAYS WOULD HAVE NOT CLRED US INTO POS AND HOLD W/O ANY TFC INFO. ALSO; IF CLRED INTO POS AND HOLD WAS USED; INSTEAD OF CLRED FOR TKOF; POS AND HOLD SHOULD NOT BE USED UNLESS TIMING IS CRITICAL WITH ACFT SPACING AND SEP. SUPPLEMENTAL INFO FROM ACN 87388: WE ENTERED THE RWY AND DEPARTED. TO OUR ASTONISHMENT WE THEN HEARD THE TWR INSTRUCT ANOTHER AIRPLANE TO GO AROUND. CALLBACK CONVERSATION WITH RPTR REVEALED THE FOLLOWING: ENFORCEMENT ACTION IN PROGRESS FROM FAA FLT STANDARDS FOR AN UNAUTH TKOF WHICH FORCED ANOTHER ACFT TO MAKE A GO AROUND. REPORTER STATED THAT HE AND FO HEARD 'CLRED INTO POS AND GO.' RPTR ADMITTED THAT THIS SEEMED UNUSUAL WORDING; BUT NEITHER PLT QUESTIONED IT. RPTR CONTENDS THAT CTLR LURED THEM INTO THE ERROR WITH NON STANDARD PHRASEOLOGY. FIRST THE AFOREMENTIONED CLRNC WHICH IS CERTAINLY IMPROPER IF SAID THAT WAY. SECONDLY; THE RPTR CONTENDS THAT THE CTLR DID NOT GIVE TFC INFO ABOUT THE TFC LNDG ON THE INTERSECTING RWY. THE PROPER WAY TO ISSUE THIS INSTRUCTION IS; 'TAXI INTO POS AND HOLD; TFC IS LNDG ON RWY 19.' RPTR ALSO TRIED TO MAKE A CASE FOR THE FACT THAT THE ATIS BROADCAST WAS INCORRECT. ANALYST SUSPECTS THAT A RWY CHANGE WAS IN PROGRESS AND THE NEW ATIS HAD NOT BEEN PREPARED; OR THE FLT USED THE ATIS INFO THAT WAS COPIED WHEN THEY WERE INBND BECAUSE THEIR STAY AT THE TERMINAL WAS VERY SHORT. EITHER WAY; BOTH THE FLT CREW AND CTLR COULD HAVE DONE BETTER JOBS; AND IF THEY HAD; THIS ERROR WOULD NOT HAVE HAPPENED.