Like mkoesel said, at its core, no AWD + Manual combo automatically disqualifies the G8x as any kind of spiritual or modern R34 GTR on paper or otherwise.
Also worth noting that despite the RB26DETT being a twin-turbo Inline-6, it was also built for response (comparatively speaking in the context of 90s turbo engines).
It had individual throttle bodies & was actually quite a screamer (8000 RPM in its 'base' form for the R34). Tuned versions (aftermarket & factory) regularly see 9000 RPM or more.
The RB26 engine & ATTESSA ETS AWD system were direct engineering offshoots of Nissan's Group A racing homologation program that started with the R32.
That foundation and those characteristics set it apart from a car like the upcoming BMW M3/M4, which will be a high-performance premium sedan/coupe.
Even the current GTR with its V6 and PM platform built off of the FM platform of the 350Z & RWD Infinitis have a different soul from the RB-powered Skyline GT-Rs