Xavier:
I always choose my words carefully. What I wrote is correct; anything omitted is because I do not know the facts, so could not possibly comment.
Owners often lease aircraft to AOC companies. G-WUSH is an example, and I am aware that there is a lease agreement between the owning and operating companies, and subsidiary agreements to cover day-to-day management of maintenance by the lessee, to comply with EASA and Sub-Part M requirements for it's AOC.
AFAIK, Kudos does not have any TRTO, FTO approvals nor an AOC, so has neither a CP nor Head of Training. AV8 has an arrangement to use the Kudos real estate for some TRTO operations, as noted in my earlier post.
PM me if you want details of the Head of Training for AV8, or look at their website, which may help.
You are right to note that an N-reg aircraft cannot be used for AOC work. It does look sexy on a web-site, though!