Possibly accurate, but not always. This presupposes that there was no factory to begin with and an American went into that particular location because of a low production cost for the sole purpose of making a product for the American trade. Naturally he will locate his factory where production cost is lowest.
But a second set of circumstances would exist for a viable foreign business based around local trade. An American trader sees the profit in importing this product into the US, with the import fees as nothing more than part of the cost.
This would be a net increase in production and sales for the production company.
Here is some more context for you... really is hard to grasp just from a quote I guess
1. The Nature of Restriction
WE shall deal in this chapter with those measures which are directly
and primarily intended to divert production (in the broadest meaning
of the word, including commerce and transportation) from the ways it would
take in the unhampered market economy. Each authoritarian interference
with business diverts production, of course, from the lines it would take if
it were only directed by the demand of the consumers as manifested on the
market. The characteristic mark of restrictive interference with production
is that the diversion of production is not merely an unavoidable and unintentional
secondary effect, but precisely what the authority wants to bring
about.
Like any other act of intervention, such restrictive measures affect
consumption also. But this again, in the case of the restrictive measures we
are dealing with in this chapter, is not the primary end the authority aims at.
The government wants to interfere with production. The fact that its measure
influences the ways of consumption also is, from its point of view, either
altogether contrary to its intentions or at least an unwelcome consequence
with which it puts up because it is unavoidable and is considered as a minor
evil when compared with the consequences of nonintervention.
Restriction of production means that the government either forbids or
makes more difficult or more expensive the production, transportation, or
distribution of definite articles, or the application of definite modes of
production, transportation, or distribution. The authority thus eliminates
some of the means available for the satisfaction of human wants. The effect
of its interference is that people are prevented from using their knowledge
and abilities, their labor and their material means of production in the way
in which they would earn the highest returns and satisfy their needs as much
as possible. Such interference makes people poorer and less satisfied.
This is the crux of the matter. All the subtlety and hair-splitting wasted in the
effort to invalidate this fundamental thesis are vain. On the unhampered market
there prevails an irresistible tendency to employ every factor of production for
the best possible satisfaction of the most urgent needs of the consumers. If
the government interferes with this process, it can only impair satisfaction;
it can never improve it.
The correctness of this thesis has been proved in an excellent and irrefutable
manner with regard to the historically most important class of government
interference with production, the barriers to international trade. In this field the
teaching of the classical economists, especially those of Ricardo, are final and
settle the issue forever.
All that a tariff can achieve is to divert production from
those locations in which the output per unit of input is higher to locations in
which it is lower. It does not increase production; it curtails it.
Again, only partly true. This short statement implies that the consumer has a "right" to lower prices.
If an item is made in the US and has a retail cost of $10, but the same item can be imported, without a tariff, and sold for $9, then the consumer has a "right" to that item at the $9 price. If a tariff is imposed, raising the cost to $10, then the consumer is "burdened".
But if this item is not made in the US, then it can be brought in for $9 without a tariff or at $10 with a tariff. The fact that this item would not be available at any price without importation, relieves the "burden" from the equation - it becomes a clean choice of whether the product is worth the cost as presented.
Pricing in the market place is simply that - pricing. The consumer decides whether he benefits from making the trade, or whether it is to his benefit to not make the trade.
It is not a matter of "rights" but rather a matter of "free choice" and "personal decision".
No.... as a privilege...

But that's ok, hard to get it from such context.
3. Restriction as a Privilege
Every disarrangement of the market data affects various individuals and
groups of individuals in a different way. For some people it is a boon, for
others a blow. Only after a while, when production is adjusted to the
emergence of the new datum, are these effects exhausted. Thus a restrictive
measure, while placing the immense majority at a disadvantage, may temporarily
improve some people’s position. For those favored the measure is
tantamount to the acquisition of a privilege. They are asking for such
measures because they want to be privileged.
Here again the most striking example is provided by protectionism.
The
imposition of a duty on the importation of a commodity burdens the consumers.
But to the domestic producers it is a boon. From their point of view decreeing
new tariffs and raising already existing tariffs is an excellent thing.
The same is valid with regard to many other restrictive measures. If the
government restricts—either by direct restriction or by fiscal discrimination—
big business and corporations, the competitive position of small-size
enterprises is strengthened. If it restricts the operation of big stores and chain
stores, the small shopkeepers rejoice.
It is important to realize that what those benefitted by these measures consider
an advantage for themselves lasts only for a limited time. In the long run the
privilege accorded to a definite class of producers loses its power to create
specific gains. The privileged branch attracts newcomers, and their competition
tends to eliminate the specific gains derived from the privilege. Thus the
eagerness of the law’s pet children to acquire privileges is insatiable. They
continue to ask for new privileges because the old ones lose their power."
The purpose of this thread was the discussion of a tariff as a "revenue raiser" for the nation and not its use as a "price protector". The comments have been mostly directed at a low "flat" across the board rate of about 2% or 3%.
I know what the point of the thread was. Thing is I reject it's premise.

Am I allowed to do that?
