Larry Dighera wrote:

I agree with your reasoning, but regulations only instruct the
controller to provide the VFR traffic advisory; they don't require the
controller to be concerned if you see the traffic or not. That said,
it has been my experience, that a controller will make an effort to
continue advising the traffic's position (if it is a factor) until the
pilot reports "in sight."

Everything discussed up to your post applies to IFR traffic advisories as
well. However, in the case of IFR traffic advisories, additional
instructions are most likely forthcoming the moment the pilot advises
traffic in sight, such as "cleared for the visual approach," "maintain
visual separation with the traffic, climb and maintain xxx," etc.

--
Peter