Oil temps tends to get higher based on contiuned high rpms, that why we run them in the race cars, all they do on track is high rpms. I always amazed looking at my oil temp gauge in the race car on the cool down lap where the rpm drop and we're just toolingback to get in the pits, it's no uncommon to see the oil tmep drop 30-40 degree when the rpms drop. I think for most street driven car, an oil cooler is not necessary, but if one is going to drive the car very spirited or do alot of highway travel, then a oil cooler is a good thing and no one will argue about the temp in Southern AZ, not a bd ide for a car being used in such a hot climate.
On the Mazda Rotary engine's oil cooler, yep a rotary engine get the oil pretty hot and desparately needs a oil cooler, and stock they normally have large oil cooler like the one shown, perfectly the norm for a Wankel engine.