Well it's tough to say because it is temperature AND time dependent. One extreme example is that I was able to turn most synthetics very black in 30-60 seconds if I had them at over 600F degrees.
Mobil 1 5w30 and 10w30 did darken noticeably when at 300F degrees for several hours, while the Castrol Syntecs I tested barely changed color. In an engine, the oil may never get over 220F degrees, but it's in use for MANY MANY hours, so it's enough to darken the oil just from heat.
To determine if an oil needs an oil cooler would be much better done by at best measuring the oil temp or at worst using a pyrometer on the oil pan. There are so many variables involved in the color change of used motor oil that going by that is shakey ground to stand on. Some conclusions can be made however. I know that for example GC's color is less affected by heat than Mobil 1 5w30, so if one engine is making GC very dark compared to another engine using M1, the engine using GC is either running longer intervals, getting more blowby (carbon) into the oil, or it's running HOT AS HECK (>300F likely). GC takes such high temps to change color that no healthy engine will get the oil hot enough to change it just from heat.
Mobil 1 5w30 and 10w30 did darken noticeably when at 300F degrees for several hours, while the Castrol Syntecs I tested barely changed color. In an engine, the oil may never get over 220F degrees, but it's in use for MANY MANY hours, so it's enough to darken the oil just from heat.
To determine if an oil needs an oil cooler would be much better done by at best measuring the oil temp or at worst using a pyrometer on the oil pan. There are so many variables involved in the color change of used motor oil that going by that is shakey ground to stand on. Some conclusions can be made however. I know that for example GC's color is less affected by heat than Mobil 1 5w30, so if one engine is making GC very dark compared to another engine using M1, the engine using GC is either running longer intervals, getting more blowby (carbon) into the oil, or it's running HOT AS HECK (>300F likely). GC takes such high temps to change color that no healthy engine will get the oil hot enough to change it just from heat.