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Though I've seen that, I've seen them be freestanding as well. I've even owned a couple of engines that might be one of the first japanese motors with an OEM oil cooler, the L28ET from the 81-83 280ZX turbo. It was a fully fledged tank and end cap design, not a cheap bent line with fins attached like what you see on many cheap ebay coolers too!
Point being, many oil coolers ARE standalone systems that aren't attached to the coolant system. That said though, they don't require huge amounts of air flow.