In fairness, the limitation versus modern cars is tyres. The new Cayman has 235/265 section tyres, which is good for braking, acceleration and turning! Ultimately if you strapped a set of wider Michelin Cup 2s on an NSX, you'd have an appreciably quicker car.
The advantage an 'old' car like the NSX has is that it is relatively small and light these days. As a result, it's light on consumables so i would argue not an expensive car to run on track (unless you crash it).
'02 Honda NSX [Garage Queen]
'17 Huracan Performante [Weekend Car]
'19 Porsche Macan [Daily]