Yes. That argument at its core usually devolves into a lump of labor argument.

Moreover, beyond this indisputable point of arithmetic lies the question of what limits the overall number of jobs available. Is it simply a matter of insufficient demand for goods? Surely not, except in the very short run. It is, after all, easy to increase demand. The Federal Reserve can print as much money as it likes, and it has repeatedly demonstrated its ability to create an economic boom when it wants to. Why, then, doesn’t the Fed try to keep the economy booming all the time? Because it believes, with good reason, that if it were to do so—if it were to create too many jobs—the result would be unacceptable and accelerating inflation. In other words, the constraint on the number of jobs in the United States is not the U.S. economy’s ability to generate demand, from exports or any other source, but the level of unemployment that the Fed thinks the economy needs in order to keep inflation under control.

That is not an abstract point. During 1994, the Fed raised interest rates seven times and made no secret of the fact that it was doing so to cool off an economic boom that it feared would create too many jobs, overheat the economy, and lead to inflation. Consider what that implies for the effect of trade on employment. Suppose that the U.S. economy were to experience an export surge. Suppose, for example, that the United States agreed to drop its objections to slave labor if China agreed to buy $200 billion worth of U.S. goods. What would the Fed do? It would offset the expansionary effect of the exports by raising interest rates; thus any increase in export-related jobs would be more or less matched by a loss of jobs in interest-rate-sensitive sectors of the economy, such as construction. Conversely, the Fed would surely respond to an import surge by lowering interest rates, so the direct loss of jobs to import competition would be roughly matched by an increased number of jobs elsewhere.

Free Trade is a conversation about income, not about employment. Sure, there is some short term disruption that goes along with it, but outside of what Krugman said, employment is generally more a matching problem than it is a problem of differences between aggregate labor supply/demand. There are more powerful forces, like SBTC, that would drive the matching problem between labor demanded and labor supply anyway.