Funnily enough I was only reading through the sensitive words regs a few weeks ago for my masters. I have a feeling I will be having nightmares about them until my exam!
Back on topic … whether those regulations even apply to our organisation is a question for someone more qualified in company law than I am (having read the relevant sections of the Companies Act, because that’s the fun kind of activity I get to do for my masters, and not wanting to spend all night intensively researching statutory definitions, the best answer I can come up with is “maybe”).
As others have stated, we’re not the Royal Air Force Air Cadets, we’re the Royal Air Force Air Cadets, called as such to bring our organisation and branding in line with our parent service. We are using the name as part of the RAF (in the same way as the examples @themajor has given), not a separate entity which suddenly decided to claim separate rights to use the word “royal” from 2017. As such, even if we are subject to the regulations I doubt we would have been required to seek permission under them.
Given the amount of time we have been using the name, and how long we used the RAFAC logo and branding before then, I would imagine if we did not have authority to use it we would have known about it by now.