As a practical matter the forces that led them to negotiate it in the first place will tend to prevent that from happening, but control simply is not being signed away.
They make their own class everywhere, no matter their nationality.
As a citizen of the US with a certain employment profile, I believe that the TPP mostly benefits me. Which doesn't mean I support it, I don't have a strong opinion either way. I think much of the criticism of the process is fair, but I think a lot of people are also looking past the broader motivations of it (bringing countries towards the US before they go towards China).
You see, I don't see people in Chile wanting tighter IP/patent/copyright law, people in Chile also don't want to give their sovereignity to a random foreign court (like it happens with, say, Argentina)... but quite the contrary. Except, of course, for those who make money off these laws and treaties, because, for them, the TPP is most probably a winning bet. Why wouldn't them want to sue their own government to profit even more? Why would, then, they avoid treaties that force their own government to follow the rules of a foreign country that is so admired and beloved by rich people (and wannabes, too) like the US?