The first pic looks like when sync is not working correctly in RGB, the same probably goes for any S-Video or Composite as it's blended in, it's not completely missing, as if it would it be more distorted, this is more how it looks like when the syncing signal is getting to low and just nearly syncs, happens on long cables, certain tvs or monitors, or when something in the console componentry is no correct, missing white I have never seen though.
Theory, white is all colour channels on max values, if something is to low maybe it can't be produced. Capacitors are not just used for charging and releasing energy they are used for their filtering side effect too, highpass in serial and lowpass in parallel, if a newly replaced cap is backwards weird stuff can happen, the fluid leaking from them are conductive meaning they can make invisible traces to other components building new circuits with new functions, the vias surrounding it can be totally corroded giving the circuits that's left new functions too, and a new function can be sending all frequencies over a certain value directly to ground, meaning it might be shorting something and the values don't add up and if the values are to low white can't be produced.
Doing the Component mod might solve it if all colour channels are correct, if however something is bad with the sync, who knows... it's needed, but it can be taken from both sync and composite...
they probably comes from the same source within the HU6260 though.
If that would be the issue, another wildcard, professional monitors uses sync signal generators to sync an array of monitors and equipment, more simpler circuits should or could be built or even stealed from other sources and be used instead. meaning you could try taking just the sync or composite (or cleaned composite) from a megadrive or snes too see if that fixes it.
The sync might just need a boost to get over the needed value, it's not overly talked about but the PVM and BVM monitor folks out there discusses it sometimes.
The little amp here can be built with ease and great success for that (ignore the colour amps and audio caps) and the keep in mind of the NPN symbol is EBC and C1815 is ECB, switch those legs (B&C).
http://www.gamesx.com/rgbadd/duorgb.phphttp://www.gamesx.com/grafx/pce_rgb.jpg