Specht77, you figured out the big "tchan" of the turbocharger. If you have two identic cars, one turbocharged (with a considerable turbo lag) and one NA, with the same power, the NA can respond faster to throttle command because there's no lag in the power delivery.
BUT (and a big but... rs) is that you generally can't have the same power of a turbocharged engine on a NA engine, unless you tweak the engine to generate the torque on a higher rpm level, sacrificing the bottom end.
I'll try to summarize: Turbocharger will give engine more torque, and so you have more power. (HP = RPM x TORQUE).
NA tuning can only move the peak where the maximum torque happens. If you move to the high RPM part, you have more power too, but in a tighter rpm band.
What you did on tweak is not too feasible on reality.
I think maybe turbo modelling can be improved, but it's already a good advantage of LFS over GTR, for example.