AN ACR WDB CREW FAILED TO CONTINUE ITS CLB AFTER TKOF AT HNL. THEY CROSSED THE CKH 240 DEG RADIAL AT 2500 FT; BUT THEN FAILED TO CONTINUE THEIR CLB; DISRUPTING TFC.

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ON DEP; MOLOKAI 4 CLUTZ TRANSITION; FROM HNL; WE INADVERTENTLY LEVELED AT 2500 FT XING THE CKH 240 DEG RADIAL RATHER THAN CLBING TO COORS AT OR ABOVE THAT ALT. WHILE THERE IS NO EXCUSE FOR HAVING DONE SO; THERE WERE SEVERAL CONTRIBUTING FACTORS WORTH DISCUSSING. THE FO WAS FLYING HIS FIRST HNL ROUND TRIP AND WAS THE PF. WE BRIEFED THOROUGHLY ABOUT THE XING; BOTH THE PROBABLE NEED TO USE THE ICAO DEP PROFILE IF THE RESTR WAS RETAINED OR THE LIKELY CANCELLATION OF SAME AS HAPPENS FREQUENTLY. THE TWR DID NOT CANCEL AND I THEREFORE REQUESTED TO DO SO WITH DEP. FOR WHATEVER REASON HIS RESPONSE ('NEGATIVE') WAS MISUNDERSTOOD AND I READ BACK RESTR CANCELED. THE CTLR REPLIED 'NEGATIVE; THE RESTR IS STILL IN PLACE;' I ROGERED THAT. APPROX SIMULTANEOUSLY; MY FO ASKED 'DOES THAT MEAN MAINTAIN 2500 FT?' AND THE CTLR XMITTED AN ADVISORY TO 'IN THE FUTURE REQUEST CANCELLATION FROM THE TWR OR GND CTL.' APPARENTLY; I RESPONDED (INCORRECTLY); AFFIRMATIVE TO THE FO AND THEN QUESTIONED THE CTLR SINCE; ON JUST MY PREVIOUS FLT; WE HAD RECEIVED CONTRARY ADVICE AS TO THE PROPER SOURCE OF A CANCELLATION OF THE XING. SUBSEQUENT VECTORS FROM THE CTLR WERE INITIALLY CONFUSING UNTIL WE BECAME AWARE THAT IT WAS OUR MAINTAINING OF THE 2500 FT ALT THAT WAS CAUSING SEPARATION PROBS FOR DEP CTL. WE THEN REINITIATED OUR CLB PROFILE SOMEWHAT CHASTENED AND EMBARRASSED. WHILE WE TECHNICALLY MET THE AT OR ABOVE RESTR WHEN XING THE CKH 240 DEG RADIAL WE CLRLY WERE NOT OPERATING IN THE EXPECTED FASHION. THE CTLR; IN FACT; REMINDED US OF THE OR ABOVE STIPULATION. SUBSEQUENT VECTORS AND TFC CALLS CONTRIBUTED TO MY HEAD UP AND LOCKED LACK OF AWARENESS. CONTRIBUTING TO THIS PRIMARY MISTAKE WERE THE CTLR'S QUESTIONABLE NEED TO ENGAGE IN THE ADMONITION IN THE FIRST PLACE. THE FO SHOULD HAVE REEXAMINED THE DEP PAGE SINCE MY THOUGHTLESS RESPONSE WAS A FAIRLY DIRECT CONTRADICTION OF OUR DEP BRIEFING.