OK, other 'factors' (which will not be named) aside, we'll have to at least accept the fact that there's no corrrelation.
You discount other factors, but unionization, trade agreements, other nations openness to imports, raw material costs, subsidies, welfare policies, minimum wage laws, etc. will have an effect. A chart of trade balance for the USA shows a steadily increasing trade imbalance over time. To reject correlation with currency seems to me to reject common sense (the cost of goods doesn’t effect sale of goods). That flies in the face of basic economics and you offer no explanation. I’m all “ears” if you have one.