oil cooler would only just cool the oil, your WATER temps are going to stay still high
and since you couldn't even check for what your real oil temps are (since the oil temps on the AP are inferred from water temps readings) unless you tap the pan and put a oil temp probe.
If your car is a daily driver, driving in the mountains or even auto crossing, imo a oil cooler is just a waste of money, You wouldn't hit high oil temps doing that (somewhere north of 250F+)
I would invest in a upgraded radiator imo and then look from there how your temps are reading IF you really need a oil cooler