Lisa,
WELCOME TO THE AWS WELDING FORUM!!
Your question may have been better off in the 'Brazing & Soldering' section farther down the line here on the forum.
Since it is here and no one else appears to be helping, I don't have C3.7 nor do I work within it. But, as many of the Codes are similar in the Definitions arena I would say there would be a couple of questions to clear up YOUR position.
1) Are you QA for a fabricator, or for a TPI company operating as a customer representative?
2) Is there a responsibility issue that you are looking to resolve through the code?
3) Is there a quality issue that is being challenged?
Personally, I would say that the OHQR could be either and/or both. A fabricator's QA should have certain responsibilities as to calling out Acceptance/Rejection products. So should the customer's reps rather a direct employee or a TPI.
Without knowing more about the context of the quote and the application it is hard to tell. Your question leaves a wide application range without more details.
Have a Great Day, Brent