B738 ENCOUNTERS HELI AT 600 FT ON FINAL TO LGA WITH A TFC ALERT BY TWR.

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ON APCH AT LGA (LGA LDA 22A); HELI TFC OBSERVED ON APCH. TCASII TA DISPLAYED TWR NEVER CALLED TFC. HELI TRANSITED APCH CORRIDOR AT 700 FT AGL; 2.4 NM FROM RWY 22 CTRLINE. TFC CAME WITHIN 1/4 NM AND 0 FT ALT OF AIRLINER. CALLBACK CONVERSATION WITH RPTR REVEALED THE FOLLOWING INFO: RPTR ADVISED THAT THE TFC WAS OPPOSITE DIRECTION AND TRACKING JUST OUTSIDE THE LDA 22 LOC. A RPT WAS EFFECTED TO COMPANY. THE RPTR'S RETURN RESPONSE FROM COMPANY WAS THAT TWR STATED THAT THE HELI HAD THE B738 IN SIGHT. THE RPTR STATED THAT THIS INFO WAS NOT PROVIDED TO HIM. THE RPTR ADVISED THAT THIS WAS NOT A COMMON OCCURRENCE. THE RPTR'S LARGER CONCERN IS WHEN LNDG RWY 31. TWR IS ISSUING TAXI INSTRUCTIONS WHEN IN THE MIDDLE OF LNDG ROLL. WITH ALL THAT ONGOING IN THE COCKPIT; THEY HAVE TO FREQUENTLY ASK AGAIN FOR CLARIFICATION. THE RPTR ADVISED THE TWR IS ALWAYS CLRING ANOTHER ACFT FOR TKOF BEFORE HE IS EITHER ANSWERED; OR IS CLRED TO GND WITHOUT CONFIRMATION. RPTR HAS 20 YRS MIL PLT EXPERIENCE IN COMBINATION WITH ACFT CARRIER SUPVR CTLR TIME.