Essentially, yes. Except for your use of the term "roughly".
When you get into the serious
stuff of the balance of payments, you become aware that the current accounts (which include the trade surplus or deficit) are only half of the equation. There is also the capital account, which must
exactly offset whatever occurs in the current account.
I have to admit, while I am pretty solid in my understanding of microeconomics and finance, I even get a little sketchy on macro when it comes to some of this stuff. It can be hard to grasp.
I suspect people glom onto the trade surplus or deficit because it is easier to understand, but, in so doing, they are prone to misinterpretation, because it is only part of the picture.
For instance, a corollary of we have been running a trade deficit for years is we have been running a surplus in the capital account for years. Which one sounds more worrisome?
The reality is, as usual, that neither is necessarily good or bad. There are pros and cons to both.