I suspect that even if we didn't have any of these labor regulations, shipping companies might still struggle to hire American workers because workers expect a higher standard from their employers. The problem isn't that we have regulations -- sure, some might be inefficient and ineffective, but there are lots of very important ones as well. The problem is that entities in other countries can exploit workers much worse. And for locations where where you might not have a lot of options, it's gonna be hard to say no.
Our consumerist economy has never really reckoned with the fact that our cheap products are only possible because the countries which manufacture and ship those products to us have cheap costs of living and (often) very poor labor conditions. As that changes and countries get more expensive to live and labor regulations improve, it'll be more expensive to manufacture and ship things.
This is obviously good for humanity overall, but it does mean that we'll pay more for products. It's not worth sacrificing human life just because America wants cheaper video game consoles, for example.
The problem is that you'll also see the prices rise accordingly - after all, the main reason why everything has been outsourced elsewhere is cheap labor, and one of the reasons why labor is cheaper elsewhere is worse labor protections.
Nevertheless, we could have done that. The fact that we haven't, to date, is implicit admission that we don't actually care about labor abuse, so long as it happens out of sight.
What is the intersection where there becomes more bad ships and less good ships because we fail to see the tipping point?
Have we created a better situation or in our determination to be vastly superior in our regulatory manner have actually created more bad?