Well, the converse would then be true...if an engine gets too cold from an oil cooler being so effective (using your 1/3 figure) then the actual radiator side would be taxed an additional 1/3 if the oil cooler was removed. Like you said, that would be significant, and is so often the case in the auto realm, all the variables possible can lead to very different results. I understand the 1/3 is a rough number, but just putting it into perspective...remove part of the efficiency of the cooling system, something else has to completely absorb that impact, or the overall temp increases.
Of course, that would also assume the oil cooler is as effective as the radiator, but given it's size and location, that can't even be remotely true. Then again, oil capacity of about 5 quarts, coolant capacity what, 16 quarts or so? (pure guess on coolant capacity to include the block) Stock oil cooler is still much less than 1/3 the capacity and efficiency of a stock truck radiator I'd have to venture.
I am not aware that GM uses any sort of temperature device on the stock coolers, there is certainly nothing in the lines or cooler, and if it's inside the adapter, it would have to be pretty small. I've had multiple in my hands and never noticed anything that looked to govern flow based on temp. Never dealt with aftermarket oil cooler stuff, didn't know some used a thermostat for the oil. Makes sense though, heating the oil up to a certain extent is a good and necessary event.