Is it effective to test color palettes and changes on old monitors?

Does anyone here test color palettes or changes on older monitors? Someone in one of our design review meetings suggested doing this, and curious as to the thoughts of fellow UX designers.

In making an update to our platform's design, changing the zebra-striping background grey fill to a slightly lighter grey for less contrast on the striping, someone in one our meetings suggested I get a hold of one of the really old monitors we had on site, to test the change and make sure it didn't lose too much contrast.

While I don't mind doing so, I don't understand how that would be very effective. There are many types of old monitors, and calibrations can vary among monitors, old or new. Sure I test on this particular scenario for the monitor I happen to have handy to test with, but it's still not covering all of the other possible scenarios with other monitors and calibrations. I'd think a more effective strategy is to adhere to W3C's web content accessibility guidelines including minimum contrast between text and background. I also test our color combinations using the Mac Sim Daltoism app, which tests for all the various types of color blindness to see how colors appear on page with each type.

Fellow UX designers - thoughts?