There is that, but the trading partners would also have to consider the relative value and scarcity of the various imports. As in a rare metal, or a complicated finished product, might be worth a higher tariff than wood or corn. I just don’t think there is one size fits all that works here.
If I own a company in the U.S. that uses steel or aluminum in a manufacturing process, a tariff on steel and aluminum is a huge incentive for me to relocate my company to another country that does NOT impose this tariff. That’s really what drives economists like these authors nuts about these targeted tariffs.