Of course you're contradicting yourself.
If it doesn't matter a toss what it says on the log book why should it matter what it says on the back of the car.
Contradiction big time.
The shells might be the same... but if I re read the lad asked why put an RS badge on a 3i... he didn;t ask about the shells.
Just cuz they're the same doesn't make it an RS..
Not being elitist in the slightest but... Its a 3i