the only reason a monitor displays 15 or 25 or 33k is because of the electronics involved.
multisync monitors simply do all the "conversion" for you....
you will notice in monitors that use the same chassis, example the k7400 / k7500 series from wells, use the same chassis, but changed a few of the capacitors and resistors to make it 15k (k7400) or 25k (k7500)
it really has nothing to do with the tube or anything, it's just different scan rates.
I caution you to avoid using terms meant for television and terms meant for computer monitors as often they are not interchangeable / applicable to arcade monitors. "optimized resolution" or "native" really only applies to LCD screens not to CRT screens.
you could go ahead and count the individual lines of pixels on your tube and adjust your chassis to scan exactly that many times, but because of the nature of video signals, you would be wasting your time, since there are wide fluxuations regarding "standardized" video signals. and that is why there is a vertical size/hold adjustments. when you adjust the picture a little shorter, what your actually doing is changing the scan rate so takes less time to complete. the position on the screen is determined on which clock tick to start on.
in conclusion since i forgot what we where talking about, the "grid" you are refering to is the shadow mask or the aperture grill... is what is controlling the alignment of the colors...All three beams pass through the same holes in the mask, but the angle of approach is different for each gun. The spacing of the holes, the spacing of the phosphors, and the placement of the guns is arranged so that for example the blue gun only has an unobstructed path to blue phosphors.
what you may be thinking about is dot pitch. dot pitch measurements do not apply to aperture grille displays.