I don't think that's quite how it works - at least not in that implication. Steel is a market. If it's expensive to get imported steel, you buy local steel. But the local guys can't just magically make more steel, so there's a shortage of their steel. Supply and demand says the price goes up - they're selling steel to Kubota, John Deere come along and say 'hey, we'd like some of that sweet American steel.' The steel maker says 'sorry, ran out'. And John Deere say 'I'll give you $2 more a ton, come on, you've known me for years.' And so the price goes up.
In the medium term the steel maker might extend their steel mill, and increase production. But a factory is a 20 year investment, so they need to know that they'll still have tariffs in 20 years, that the price of labour won't go up, that the price of inputs (coal, iron ore) won't go up. If they have uncertainty, they just milk the price rises right now, and wait for the tariffs to go away again.