Rev limiter are disigned to stop excessive engine rotation speeds. it is fairly safe but not too recommended to hit it. haveing a fuel cut rev limiter is gonna burn off a leaner mixture cause ur sparks are firing. leaner mix = hotter. rev limiters are a semi-safe margin of the engines capacity. my GTRs rev limiter is 9000rpm and i do the occasional rev limiter burnout.
but driving normally on the roads accelerating and u hit it. thats not right. ur driving a GTST which aint quick if u wer driving a GTR in RWD mode then maybe it will be a bit hard. You just got the car im sure and your new to it. take it easy. skylines already have a bad rep.