B727-200 CONFLICTS WITH ANOTHER ACFT LNDG ON INTERSECTING RWY WITH NO TWR LAHSO OR OTHER COMMENT AT ROC.

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WHILE INBOUND TO ROC; WE WERE BEING VECTORED FOR RWY 22 VISUAL APCH WHEN WE (B727) REQUESTED A VISUAL APCH TO RWY 4. APCH TOLD US TO STAND BY WHILE THEY CHKED WITH THE TWR. THEY CAME BACK AND GAVE US A VECTOR TO RWY 4 AND CLRED US FOR THE VISUAL TO RWY 4 AND TOLD US TO CONTACT THE TWR. UPON CONTACTING THE TWR THEY CALLED TFC ON A 4 MI FINAL TO RWY 28 AND CLRED US TO LAND. AFTER TOUCHDOWN AND DEPLOYMENT OF THRUST REVERSERS; WE NOTICED THE ASTRA JET ROLLING OUT ON RWY 28 AND NEARING THE INTXN OF RWY 4. WE APPLIED MORE PRESSURE TO THE BRAKES AND CAME TO A STOP SHORT OF THE RWY 4/28 INTXN. UPON STOPPING; THE ASTRA JET CALLED THE TWR AND ASKED THEM IF WE HAD BEEN INSTRUCTED TO HOLD SHORT OF THE INTXN AND THEIR RESPONSE WAS 'NEGATIVE.' HE THEN ASKED IF THEY (ASTRA JET) WERE SUPPOSED TO HOLD SHORT OF THE INTXN AND AGAIN THE TWR'S RESPONSE WAS 'NEGATIVE.' THE ASTRA JET THEN INFORMED THE TWR THAT THEY HAD INTENDED TO ROLL THROUGH THE INTXN TO THE END OF THE RWY. THE TWR THEN TOLD THE ASTRA JET TO HOLD THEIR POS WHILE THEY TOLD US TO TAXI TO PARKING. I BELIEVE THAT THE VIGILANCE OF BOTH FLCS IS THE FACTOR THAT PREVENTED THIS FROM BECOMING AN ACCIDENT WHERE MANY PEOPLE COULD HAVE BEEN INJURED OR KILLED.