You asked

What criteria is used to determine "good faith" security research, as outlined in the Office of National Statistics' vulnerability disclosure policy.

We said

​Thank you for your request.

The term "good faith" is used in this context as described in the dictionary definition:

"Done in an honest and sincere way"

The source for this definition can be found here: https://dictionary.cambridge.org/dictionary/english/good-faith?q=Good+faith

This definition and has been confirmed with the National Cyber Security Centre (NCSC), who wrote the vulnerability disclosure policy.