Interesting as I've always found it to increase my own workload if I don't see traffic, and making it known that I'm willing to make ATC's life easier when simple\efficent to do so will, in turn, usually make my life easier while on that frequency. Plus I always want to see traffic that is called out to me if possible, especially since I usually operate VFR in Class B/C airspace most of my flights lol. IFR, I'd say it still matters as it can easily lead to vectors for you or someone else or might prolong an approach clearance with extra steps. As long as it is safe, I always feel efficiency is king in a busy terminal environment, and I always try to play my part the best I can in keeping things rolling and having extra SA. That said, I don't pretend to have stuff in sight to make their job easier lol.
Exactly how I feel, if I find the traffic, I usually just get to continue doing what I was doing vs plan B and more calls/visual scanning.