For those getting their Ps after 2007...
I am pretty sure the only reason you would be allowed to drive a turbo Skyline on your Ps is if it is for work purposes, and that wouldn't include driving to work... As said, a mechanical job, or my friend who is an auto electrician and drives Ferraris, etc.. But I am under the impression that it would be only for client's cars and not your own... but that's not the issue here.
I don't think it's as easy as getting a note from your parents saying you are allowed to drive it, or saying "Please Sir/Madam, May I drive my turbo Skyline because it is awesome and I love it?".
That's why I'm sticking with my stock FWD Impreza until I'm off my Ps. Looong wait, but lets me save.