PIC CHALLENGES CAK LCL CTLR COMMENT ABOUT CLRNC AUTH.

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IN CAK; TXWY F WAS CLOSED BTWN TXWY F1 AND TXWY A; AND TXWY C WAS CLOSED AS WELL. CAK WAS LNDG RWYS 19/01 AND 5/23. WE WERE ON VISUAL/SHORT FINAL. AN ACR Y RJ HAD JUST LANDED ON RWY 23 AND TURNED OFF AT TXWY F1 AND WAS WAITING ON TXWY F TO BACK-TAXI ON RWY 23. WE LANDED ON RWY 23 AND STOPPED AT THE INTXN OF RWY 5/23 AND 1/19. WE CAME TO A FULL TOP ON THE CTRLINE OF RWY 23. THE TWR CLRED ACR X TO BACK-TAXI ON RWY 23. WE ASSUMED A TURN ONTO RWY 1/19 (L TURN). WE ASKED ATC FOR TAXI INSTRUCTIONS AS WE TURNED OUR NOSE TOWARD RWY 1/19. NO RESPONSE. WE ASKED AGAIN. ATC SAID 'TAXI TO THE RAMP ON RWY 1 AND RWY 14/35 THEN TXWY A.' ATC STATED 'YOU SHOULD NOT STOP ON A RWY OR TURN ON A RWY WITHOUT ATC CLRNC.' WE STATED 'ATC SHOULDN'T CLR ANOTHER ACFT ONTO A RWY WITH LNDG TFC STILL ON THE RWY.' ATC STATED 'CALL THIS PHONE NUMBER WHEN ABLE FOR POSSIBLE PLTDEV.' WE TAXIED IN WITH NO FURTHER CONFLICT. AFTER PARKING THE ACFT; I CALLED THE TWR SUPVR. I ASKED WHAT THE PROB WAS. HE STATED; 'YOU SHOULD NOT STOP ON A RWY OR TURN OFF A RWY TO ANOTHER WITHOUT ATC CLRNC. I EXPLAINED WE WERE ON THE CTRLINE OF RWY 23 AND DID NOT GO ONTO RWY 1/19 UNTIL CLRED TO DO SO. WE DID NOT TAXI ONTO RWY 1/19 UNTIL CLRED. WE AGREED AND THE CONVERSATION ENDED. I BELIEVE ATC DID NOT KNOW WE WOULD STOP SO SHORT AND ASSUMED WE WOULD TURN OF ON TXWY F1.