Setting aside any lofty concepts of making all screens in the world look the same, calibration basically puts your specific screen into a known state and tries to keep it there, so you have a consistent "canvas" each time you use it.
How tightly it can do that, and over its lifetime, depends on how it was designed and manufactured. Tech has definitely gotten better (think fading CRTs and LCDs backlights...).
In the days of "manual calibration" I adjusted the brightness, contrast, and maybe white point / colour balance if available, using "Mk. I Eyeball" (and later a Spyder), and that had to do. Many digital screens are still limited to this.
Regardless of what you have, maintaining a known state can help make image consistency easier. For the use you described, there's probably a lot of products to choose from that will suffice, in addition to any mid/upper-end models that have various onboard calibration features.
Ironically if you're mainly doing greyscale you might be more sensitive to calibration consistency, because brightness, contrast, and whitepoint / neutrality are all you have, and those are also the most basic calibration adjustments. I generally don't touch the stuff but from what I've seen B&W people are a really picky bunch lol!