Biggest losers with such incidents is the credibility of US government, government agencies, and institutions. Other countries used to rubber stamp approvals once a US institution had certified something. The nepotism, politicization, and corruption in such institutions is eroding the credibility and creating barriers and preferential treatment US companies and products used to receive worldwide.
FAA, FTC, US Treasury, US military all have lost credibility in recent years.
Sure. The easiest and most direct approach would be a questionnaire along the lines of "an FAA certification improves my confidence in the product (1: strongly disagree, 5: strongly agree)". Then just get every group you care about to regularly answer the survey.
You can also measure indirect effects, like how many agencies rubber stamp standards and certifications by the agency in question.
The interesting question isn't if it's measurable but if somebody measured it and is sharing the data
FAA, FTC, US Treasury, US military all have lost credibility in recent years.