China does not have a direct sales into any country, in every country there are government agencies that satisfy every product that comes into that country, so if any product that has been fake enters into your country, that means there has been breach of protocols in your country. In my country Nigeria, there are Chinese companies and there are importers that bring products from China to the country, but for any product to be consumed, we have what we call Standards Organisation of Nigeria(SON), this government agency is saddled with the responsibility of checking every product that comes into the country if it's up to the standard to which the country needs.
So China cannot directly produce fake products and it gets into your country, if it happens, then there is need to check your border security.
I don't agree, and I don't think that responsibility entirely lies with the import things to the country. As far as my country is concerned, we have agencies like Pakistan standards and Quality control authority, other customer authorities and regulators as well. They are responsible for checking any sort of imported good that enters the country, but I think it is unrealistic to think that every counterfeit or substandard product can be easily detected at the borders.
It is also the responsibility of the manufacturers and exporters who are exporting and producing goods to check for the international market standard before sending them to any country. The problem is share responsibility that just blaming an entire country or border control for the issue.