For some silly reason, I could not see all other responses before I posted mine. Then I read them and would like to add this:
Antifreeze formulations used as coolants deploy an assortment of organo-metallic and organic additives. These are used to protect metals in the cooling system from corrosion/cavitation, to control scale, to prevent foaming and to maintain pH. Common examples of additives include various phosphates, sodium borate, molybdate, sodium silicate, potassium sebacate and sodium nitrate. Just like additives in a lubricating oil, these additives will contribute to ranging elemental concentrations of sodium, boron, potassium, silicon and phosphorous in the coolant. As will be discussed in greater detail later, the elemental families from the coolant additive system help serve as markers, like DNA, to identify glycol contamination of lubricating oils.
See, problem is, coolant is “oily” not because it has oil in it, but because of its main compounds plus lubrication additives. Water pump fins spin at very high speed. Regular oil, unfortunately, has very high foaming ability, one of the reasons it is not used in say shock absorbers. When you have water +engine oil, run through fast spinning pump fins, they will beat that mixture up into suspension, well known yellow “milkshake”. You don’t want to have THAT inside your cooling system.
That being said, I am opposed to saying “it’s OK to drive on it for some time”.