Yes, there's a realpolitik argument for threatening tariffs to get other concessions. If it works, the proponent can reasonably say "We got good thing, without bad thing."

Principled people have a hard time with the idea of coercing others into doing things they didn't want to do. It gets really tricky, when the thing they're being coerced into doing is something like lowering taxes or easing regulations, though. There's a reasonable self/other defense argument that you can threaten violence to get someone to stop committing violence.