With regard to the EU position, not just the one of my institution, you may look at the latest state of the union speech by President Juncker, which says we need coherence and consistency. Europe, regarding the GDPR with the directives I mentioned, would like to have one coherent single harmonized legal framework so that any trade agreement, including the one you mentioned, does not depart from the system but is fully in line.
The commission doesn't want to have substantive provisions relevant to a data protection viewpoint or to interpret existing or future trade agreements with a view to having lex specialis from a data protection viewpoint, although we are all aware that you may have some specific need to address certain specificities, whether a principle in terms of territoriality, or something concerning cloud computing servers, or something related to trade secrets.
In terms of general obligations for data controllers and data subjects that arise, the idea is to have everything in the GDPR and only in the GDPR.