If the exporter charges the same price, the consumer pays more, the exporter get the same as before, and the consumer pays the tariff to the government.

The consumer always pays the tariff. The exporter never pays the tariff.

That's the problem with your semantics then. If the manufacturer no longer makes the same income because they can't increase the final price, in effect the consumer didn't pay the tariff.

Consumers pay all of the operating costs and taxes of a company. That's not the debate.

With tariffs, the cost of an imported product becomes higher than a domestically produced product, making consumers purchase the domestically produced product. This is the purpose.

The long-term purpose is that foreign companies start making their products in your country to avoid tariffs and be able to compete.

The discussion about if the buyer or seller pays the tariffs or taxes is non-sensical and a distraction.