Next time you ask for a radar information service, why not ask ATC to delay telling you about other traffic until just after you've seen it; perhaps giving you a heads up in good time is not sporting enough?
Now why introduce such stupidity into the conversation? Why not just turn off the TCAS for that matter?
One uses all the tools at one's discretion. These tools never relieve one of the responsibility to see and avoid, however.
I know a lot of pilots who believe otherwise.
In the general aviation, lower altitude, more congested airspace arena where not only is more traffic, but ground clutter, reduced visibility, and other distractions to acquiring traffic a factor, the issue of seeing and avoiding is even more critical; far more so than what we may see at FL410.
For the general aviation pilot who relies upon a gimmick that may or may not work, may or may not see other traffic, and in which other general aviation airplanes may or may not be visibile or even equipped with an electrical system, a false sense of security may be imbued and may lead to a false sense of security. Add to that a device which doesn't report the whole picture or give an adequate pictorial display, and you may just have more of a distraction than it's worth.
Personally, I wouldn't own one. I use TCAS II, it's useful, but I couldn't afford to put it in my own aircraft, and wouldn't bother with TPAS or other cockpit gimmicks available today. My eyes work reasonably well, however. Your own mileage may vary.