Let's go back to basics. Older game boards have very basic video circuitry which simply memory-maps directly onto the monitor. There is always a one-to-one correlation between each pixel in memory, and each screen pixel. The simplicity produces sharply-defined but low res graphics.
For an emulator to reproduce this exactly, the beam of the monitor must, again, have a one-to-one correlation with emulators graphics memory.
Now, (except for 3D modes etc), a VGA card behaves very much like a game board, so it is possible to get a 100% faithful reproduction. We can make the VGA card behave as a 100% emulation of the game board.
BUT now comes the problem. To do this the number of vertical lines and horizontal pixels that the VGA card displays on the monitor must be exactly the same as the original game board. If they are not, we have to re-sample the original memory mapping and stretch or compress it to fit the screen, or put up with an incorrectly sized picture. So the 100% emulation is lost if hardware stretching or a scan converter is used.
So a game which was originally designed to run at, say, 320 X 200 must be run at exactly the same resolution to give a 100% emulation. If it is run at any other resolution, just because the monitor is capable of handling it, the quality of the original game will be degraded, even if the res is higher.
This is the basis on which Advanced MAME was developed, to allow modes to be configured for each game to reproduce it exactly.
With a 15Khz monitor, there is an important limit. This is vertical resolution. Assuming a vertical sync range of 50-60 Hz, a 15Khz monitor can only display approx 240-300 lines. This is OK for most older games, which used these monitors. Later high-res games cannot be displayed 100% accurately on an arcade monitor, as the dreaded H/W stretch, or interlacing is needed.
This is where your D9200 scores because it CAN display more than 300 lines and therefore can reproduce all later high-res games 100% accurately.
As far as horizontal res goes, there is no issue with this and monitors, they can display any horizontal res. The issue here is that the VGA card dot clock needs to be adjusted to provide the correct line scan rate for the required resolution. So with low frequency (15Khz) monitors, we can sometimes run into the VGA card's lower dot-clock limit.
So the answer is this: If you want the exact Galaga experience, run the monitor at the Galaga resolution. All MAME games display the res. on start-up.
But wait, you will also need it to be vertical! This brings another issue, what about vertical games on a horizontal monitor? Well, providing the monitor is capable of displaying the resolution (rotated) then we still have a good picture. Although the scan lines are in the wrong direction, there is still a 1 to 1 correlation with the game pixels. So we can get away with this cheat usually.
Basically, if you run at the game's native resolution, your VGA card is behaving exactly like a game board in the way it is displaying the game graphics, so the best quality will result. Actually a range of resolutions can be defined which cover all games, the res can be slightly higher than the game's native one, and a small border will result, but no loss of quality.