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I did not know that ATC had ANY obligation when offering VFR traffic advisories...?? 
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FAA Order 7110.65N Air Traffic Control
Chapter 2. General Control
Section 1. General
2-1-16. SURFACE AREAS
  a. Coordinate with the appropriate nonapproach control tower on an individual aircraft basis before issuing a clearance which would require flight within a surface area for which the tower has responsibility unless otherwise specified in a letter of agreement.
  REFERENCE-
  FAAO 7210.3, Letters of Agreement, Para 4-3-1.
  14 CFR Section 91.127, Operating on or in the Vicinity of an Airport in Class E Airspace.
  P/CG Term- Surface Area.
  b. Coordinate with the appropriate control tower for transit authorization when you are providing radar traffic advisory service to an aircraft that will enter another facility's airspace.
  NOTE-
The pilot is not expected to obtain his/her own authorization through each area when in contact with a radar facility.
  c. Transfer communications to the appropriate facility, if required, prior to operation within a surface area for which the tower has responsibility.
  REFERENCE-
  FAAO 7110.65, Radio Communications Transfer, Para 2-1-17.
  FAAO 7110.65, Surface Area Restrictions, Para 3-1-11.
  FAAO 7110.65, Application, Para 7-6-1.
  14 CFR Section 91.129, Operations in Class D Airspace.
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