The simple answer is "no." In fact, this misconception has misled many manufacturers to believe that they don't have a choice in their third-party testing partner. To satisfy the prerequisite of having your products tested by an independent organization, the true legal requirement is that the laboratory which performs the testing be a Nationally Recognized Testing Laboratory (NRTL) recognized by OSHA.
Intertek is an NRTL and is recognized worldwide as a competent testing, inspection, and certification organization, and the ETL Listed Mark serves as proof of product compliance with U.S. standards. We test to UL standards, among others, and our experts sit on many committees involved with the development of industry standards.