Actually, they don't agree with you in the manner you imply.

On page 8 they say that an SOE is anything where a government has a major or majority stake and that they're using the OECD definition, but they do so after acknowledging (page 3) that there are many definitions in law, practice, and countries. Their definition is simply one of global convenience for the purposes of their report.

More importantly for NZ, the government takes no role in managing or directing them, per se, unlike New Zealand SOE''s where their role and function is defined in law and regulation, and their goals are actively managed (or interfered with, depending on your political view) by government from time to time.