It is strange and I haven't read anyone who will say what I am about to type. The prices of some US made goods is X and some foreign countries export the same item for X-20 (or whatever). Some US consumers will buy the foreign product cheaper than the US product. Now when tariffs are enacted, the price of the foreign goods increase to a price greater than X-20. Presumably the US consumer will buy the US product since it has become cheaper. In doing so the US consumer will be taxed for the difference he was paying for the price he is now paying anyway. In either case the US consumer has seen a tax on goods.
The forward thinking is that at some point, US manufacturers will increase production and the US products will become cheaper. Unfortunately for this time in history, the US has moved past a manufacturing phase in capitalism, and there is no interest by enough companies to re-enter heavy manufacturing, so it won't do much good.
Bottom line is the US consumer WILL pay more ... because of flawed thinking by a nitwit who probably failed to attend economics classes at Wharton. Of course all of his brain dead economic advisers are boot licking sycophants, who will simply regurgitate what the boss says in order to keep their position of power.