Can't clarify it, it's surely got to have something to do with insurance somewhere along the line.
I would suggest it to be a private flight. The remuneration isn't an issue unless of course the flight is being flown by a PPL holder. I would think that a PVT flight would beable to be classified as such if a CPL was flying it and being paid to do so.
Some boffin will answer you with a quoted reg by midday tomorrow I'd say.