The PS1 outputs horizontal padding with every single resolution. You can see this in Mednafen as by default it shows this in the 4:3 frame, which is why in the earlier link I posted people were saying it was incorrect by showing a diamond shaped bios logo and too skinny aspect ratio.
“By default, Beetle PSX includes horizontal padding (black bars or ‘pillarboxes’ on either side of the screen) to emulate the same black bars generated in analog video output by real PSX hardware. This horizontal padding can contain garbage pixels that are generated when the game’s width mode is smaller than the display area width in the emulated GPU registers.”
The crop over scan option removes this padding and makes all the resolutions display correctly at 4:3, showing you only the active area. You can see this yourself with Xebra as 368 crops and misaligns the image with Street Fighter Zero 3’s arcade resolution mode whereas Medanfen with crop overscan off displays it correctly.
So I don’t think 384 is a mistake but a resolution that can only be achieved if you go beyond what is the normal active area for that mode and draw into the padded area. Something that as far as I can tell only Capcom did for a very small number of games.