Okay I don't own a Z but owned a AP2 for a year and have test driven many 350s over the years and two 370s so I'll try to make it short.
IMO the 370 is everything the 350 should have been. The car blends the best of 350 and s2000 characteristics.
Both 370 and s2000 are an acquired taste. The S is light and nimble and the 370 isn't really far from that. 370 has better grip with a lot more to offer (safer, creature comforts and torque!)
I fell out of love with the s2000 because the motor is just unacceptable. Sorry amount of grunt. This isn't 400hp of Italian topend, it's 240hp with not enough torque.
OP.. Is this you?
S2KI - S2000 Forums -> coming from a 370Z