Sorry
No ignorance on your part because if you don't know you just ask, to me that is not ignorance.
You need an oil cooler to cool the oil in your Auto, but there are specific coolers just for autos that don't need to be high pressure like an engine oil cooler as they don't usually have to cope with the same type of pressure.
My plan is to modify my standard intercooler to an auto oil cooler when I mount my front mount intercooler as it is nice and large and allready mounted somewhere.
I am allso fitting an engine oil cooler under the R/H/F guard, Not for racing but because of the temp we get here and too hot oil is not good.
SK fitted the largest heavy duty one he could buy as he uses his car for towing a race car which would cause his auto oil to get very hot and his standard one just wouldn't cope.
For an unmodified car that dosen't get any abuse, an upgraded oil cooler is a good idea, but for something that gets worked a bit it is a must. After a good drive when you stop put your hand on or around your shift lever you can feel the heat radiating through.
Hope this helps or maybe my ramblings are more confusing.
Gary