I really need to explain something here in the interests of technical accuracy, not trying to knock a product which another supplier is selling but just to point out it might not be appropriate in this case, unless I have the situation wrong.
The OPs original emails to me about the ArcadeVGA problem mentioned using a D9800 monitor. This is a tri-sync monitor. The benefit of these monitors is they can run all the 30 or so 15Khz resolutions of the ArcadeVGA card and also run VGA. Using a converter of this type, this will output only one resolution. so this negates the benefit of doing any conversion at all.
Using the converter all games would run at the desktop resolution, or similar, a VGA resolution the converter can accept as input. The converter would resample and output its own resolution to the monitor.
As none of the native game resolutions are available, there is no benefit over connecting the monitor directly to a normal VGA card and running at 31Khz. This will not give native resolutions either but it will not be using any external resampling. The conversion would be done by Mame and Direct3D instead, which is pretty good at it.
Where these converters are useful is when a 15Khz monitor is being used and there is no other way to generate compatible signal. The PC can be run at 640 x 480 and then the converter has an exact divisor of number of lines, ie down to 240 lines. The Asian coin-op games these are generally used with have a native resolution of 640 x 480 so this works well in these cases.