Might, if there's sludge or valve-seal particles stuck in the pan. Simply disconnect it for the flush & oil change unless its a full-flow cooler (which most aren't).
FYI, a cooler in that area becomes ineffective at high speeds due to the way airflow wraps the rear of the Pantera. Of course, the only time one actually needs an oil cooler is at high speeds.... Real fast guys recommend a water-to-oil heat exchanger rather than any air-cooled oil cooler, and those can be plumbed in much closer to the engine, shortening lines & allowing the AC to remain in the stock location. 'Course, the stock AC also stops working at high speeds for the same air-flow reasons.
