Look, this is not hard. You have two countries, one makes bad apples and the other makes fantastic, amazing, glorious apples. One was seeded by Johnny Appleseed and the other by Johnny Rottenseed. The only labor involved is picking the apples, which both countries do equally well. Does that mean that the GA (Glorious Apple) country will run a surplus against the BA (Bad Apple) country?
No, it will not.
Trade will still be balanced, because the exchange rate will adjust so that neither country is running a surplus or a deficit. Maybe one Glorious Apple is worth 10 Bad Apples. Then the Bad Apple country will import 100 glorious apples and export 1000 Bad Apples.
So the terms of trade, the ratio of GA/BA rises, so that total trade is balanced. It is balanced when one glorious apple dollar is worth 10 bad apple dollars.
The only way that this will not happen is when someone interferes with the exchange rate. Now, if someone interferes, say by making it illegal to sell more than 5 Bad Apples for 1 Glorious Apple, then Glorious Apples will look amazingly cheap to the Bad Apple people, but the Bad Apples will look awfully expensive to the Glorious Apple people, and so this artificial strengthening of the Bad Apple currency will create a huge trade deficit, as people rush to dispose themselves of their bad apples and obtain the superior and affordable glorious apples.
On the other hand, suppose that we see the Bad Apple country running a deficit against the Glorious Apple country. What can we surmise? That for some reason, the investment demand for Bad Apple currency is high, causing people to want to accumulate Bad Apple dollars, even though the Apples made there kinda suck. That investment demand is what creates the trade deficit, by inflating the value of the Bad Apple. And it is the only thing that can cause that deficit.
Nowhere anywhere here does the price of labor enter into the picture. That is a you story -- I would try to fix that meaning processing unit.