Looking at the newer pictures, it seems like rmay635703 is on something, the issue indeed looks like excessive contrast, and the contrast pot not working fits in as well. In this kind of digital monitors, the brightness typically affects both "bright" and "dim" colors, while the contrast setting sets how much of the brightness remains for "dim" colors, but leaves the "bright" colors mostly alone. Your first picture shows the "bright" colors approximately the same on both monitors (by the way, including the working monitor as reference to know what issues are picture artifacts was a great idea!), while the "dim" colors are too dim.
Your observation that the issue is worse after the monitor was off for several months hints to capacitors as a possible root issue. Capacitors are supposed to not conduct DC current, but if they are worn, they may get electrically leaking (I don't talk about physical leaking of electrolyte!), and develop some "leakage current" as if a resistor is in parallel with the capacitor. I found http://bitsavers.informatik.uni-stuttgart.de/ … rence_Nov83.pdf , which has the schematics for your monitor on page B-29 (PDF page 527), in which at least the color input circuit looks nearly indistinguishable from the IBM 5153 color display. I did not do a side-by-side comparison, but at first glance, I did not notice anything that differs between the color input circuit on the 5153 and your monitor, including the mostly, but not fully consistent offset of "30" between the components numbers used on the three color channels.Possibly parts of the schematics, or even everything except the case is identical. Looking at those schematics, there is no potcapacitor near the contrast pot, so while it looks like a capacitor issue, it doesn't seem to be a capacitor issue.
The idea of the contrast circuit in that monitor is that the intensity signal from the PC arrives at pin 9 of the IC called Q253 at the left edge in the top half of the schematic. If intensity is "high", the IC pulls pin 8 to ground, so there is effectively no voltage at the contrast pot, and transistor Q251 is turned fully off. The output of pin 8 of IC Q253 is also fed back to input at pin 5 of that IC. If pin 5 is pulled low, pin 6 is "high impedance", i.e. the IC does nothing to the voltage at pin 6, so resistor R216, which has the +5V supply on top (quite difficult to follow) turns transistor Q252 partially on. For low contrast, this is exactly the opposite way. As Q251 and Q252 have their collector connected directly to the +5V rail, this is a "common collector" configuration, also known as "emitter follower" configuration, and the higher base voltage at Q251 or Q252 determines the emitter voltage at R232, which is then fed through the service switch before it reaches the R DRIVE, B DRIVE and G DRIVE pots. At the same time, the output of pin 6 of the IC Q253 is also forwarded directly into the transistor circuit generating the colors via the diodes D501, D531 and D561, so there will likely be some contrast even if the circuit around Q251/Q252 does nothing.
Only the Q251/Q252 circuit depends on the contrast setting, so if the contrast pot "does nothing", the issue is likely very close to this circuit. As there are no possibly leaky electrolytic caps near this circuit, I don't think capacitor failure is the primary issue. As I do not yet undestand how the color generation circuit works in detail, I am unsure what problems will occur if the service switch S301 gets flaky. As that is a mechanical part with metal "just touching" to provide connectivity, it is prone to oxidation, and it is located in the circuit that is meant to respond to the contrast pot. You should be able to verify whether S301 provides "good connectivity", i.e. less than 1 ohm, with the monitor turned off, assuming you have a multimeter. If you don't have one, diagnosing will be way more difficult, but you can try toggling that switch multiple times anyway and see whether this helps with your issue.
The "low red" issue I observed is likely a different issue: All colors are too low at low intensity (which is the intended behaviour at contrast set to the maximum), and possibly red is generally too low compared to the other colors, which also explains the blueish tint of the white screen. This is likely to be an entirely different issue than the excessive contrast, and should be fixable by adjusting the "R.BKG" pot. There is dangerous voltage around the bkg pots, so make sure you use an isolated tool when you adjust these pots while the monitor is running.
EDIT: fixed the claim "there is no capacitor near the contrast pot", which originally read "there is no pot near the contrast pot".