It's correct nomenclature is "Charge Air Cooler" because regardless of what other people call it, it is so named / termed by the Garrett Corporation . I believe that they were designed & constructed by Cliff Garrett in his garage for a contract for B-17 bombers manufactured during WWII. What was the Garrett Corporation is now the Honeywell Corporation, being bought out by Honeywell years back.
BTW, the charge air coolers, or "intercoolers" as we call them were manufactured by Garrett Corporation at the Lomita Street turbocharger facility in Torrance, PRK. They are also referred to as "heat exchangers" sometimes.