There is a specific list of words in the regulations (Part 2), which can be used in descriptions with the word honey, eg filtered, chunk, blossom, etc. Raw isn't one of the specified words.
This is in addition to and separate from the description of honey as raw.
TSOs don't need to override it, it's already written in law.
The list of honey types in part 2 of the regulations which you have sited are reserved names which may be applied only to the types of honey described. They are mostly optional - I'm guessing that hardly anyone labels their honey as "Extracted Honey" despite the fact that most honey sold is extracted.
The reserved names do not comprise the entire list of words that may be used to describe honey. For instance, Part 4 of the regulations (Additional Labeling Requirements) paragraph 17 (3):
The product name of a relevant honey may be supplemented by information relating to its floral or vegetable origin ...
Thus we have names such as "Borage Honey" and "Lavender Honey" which distinguish those honeys that are produced by bees that forage primarily on the specific nectar source named. Neither "Borage" nor "Lavender" or any of the other mono-floral sources are specified in Part 2 of the regulations but are perfectly acceptable nonetheless.
Paragraph 17 (4) permits regional origin to be used in the name. "Herefordshire Honey", "Tottenham Honey", "Dagenham Honey", "Walthamstow Honey", and so on. No regional names are listed in Part 2 of the regulations but they are acceptable and in common use.
Paragraph 17 (5):
The product name of a relevant honey may be supplemented by information relating to its specific quality criteria.
This patently permits additional descriptive words to describe the quality of the honey. This is the part of the regulations which I believe allows the use of "raw" and "pure" and possibly other words although I can't actually think of any that are more suitable.
So, so long as the label makes no claims that are false, I can't see why trading standards are making such a fuss about nothing. They should be concentrating their efforts on pursuing the real crooks and fraudsters selling adulterated and fake honey, not harassing hobby beekeepers over simple, well defined and properly used English words on honey labels.