It doesn't matter which party hands over the cash for the tax. The price will rise or fall as required to ensure that the tax is effectively paid according to price elasticity.
You get to graph this out if you take an economics class or two. In case you don't want to take a class, I'm pretty sure there is a Khan Academy video of it.
For example, the Chinese have effectively been paying about 5/6 of the tariffs imposed on them. Since the tariff is implemented by having the buyer pay, the price of the goods goes down. (you might ask why the Chinese would reduce their price, but they face lower demand and fixed operating costs, and also consider why the previous price wasn't higher) If the tariff had been implemented by having the seller pay, the price of the goods would go up, but this would be smaller than the amount by which the price has gone down. In other words, the US tariffs have forced a price cut which absorbs about 5/6 of the costs.
In addition to the market effects, the collected tariff can replace other taxes. The US was funded on tariffs during its rise in the 19th century. Our government is now mostly funded from taxes on productivity, which of course discourages productivity. We can return to the strategy that we used prior to World War I. It worked. It has also worked for many other countries pulling themselves out of poverty, including China.
Khan Academy's page about it with the graphs:
https://www.khanacademy.org/economics-finance-domain/microec...
Numerous videos, including one from Khan Academy:
https://duckduckgo.com/?q=tax+elasticity&t=canonical&iax=vid...