Seems silly I'm sure, but the engine oil cooler's job is to cool the engine oil, not to cool the engine, at least on a water-cooled engine, old VW and BMW stuff, etc notwithstanding. If the engine coolant runs at 210 you're good: no steam, no boilover, coolant is doing its job to keep the metal bits from warping, the exhaust valves from burning, etc. Keep in mind you have more coolant than oil though and that the coolant sees less restriction than the oil, which is why coolant runs are about 15psi and engine oil at upto 60 or so. Also, no part of the coolant's job is related to its thickness or its ability to cushion anything and that the coolant doesn't significantly change viscosity or any other physical characteristics due to temperature changes within its designed operating range. All those things are true of not engine oil though. There's less of it, so it heats up faster and more drastically, its job is to cushion and is related to its ability to maintain viscosity which does change considerably even within its designed operating temperature range and even more so if pushed outside that range. Everyday 10W30 goes from flowing like 10 @ -20C to protecting like 30 @ 100C, which means its viscosity is changing as much as 280% and that's all within range. Push it outside that range and you're asking for bearing trouble.
My point is this, don't let the coolant temp gauge tell you whether or not you need an engine oil cooler. Let an engine oil temp gauge tell you if the engine oil max temp is always between 230 and 260 (conventional) or between 230 and 300 (synthetic). You want it well above the boiling point of water to prevent condensation which leads to increased crankcase acidity and to prevent sludge accumulation but any hotter than that is reducing the ability of the oil to protect your engine and shortening its useful life.
Body lift is probably helping coolant temps not only due to increased air space around the engine but also giving hot air more open escape paths. Just make sure all your inlet air is going through, rather than around, the radiator.