This car has the same issue that many of the supercars have... they dont have that huge 'grab' factor. McLarens are infamous for this too.
I don't want to get too far off topic (I'll return to the NSX in a bit) but I think the McLaren thing is a bit more nuanced than that.
McLaren undoubtedly lacks the mystique, and maybe the exoticism of a brand like Ferrari or Lamborghini. It's not been building road cars as long, and its brand recognition is tied much more closely to F1 even than Ferrari (while F1 was Enzo's passion, it's still always been a road car brand too rather than just a racing constructor).
Importantly I think, brands like Ferrari and Lamborghini also built their reputations well before the internet was a thing. That immediately takes some impact out of any new car because everyone and their dog can immediately download everything you ever want to know about a car, see photos, watch videos etc, so that feeling of getting a once-in-a-lifetime glance of an exotic car (like you might if you saw a Daytona in the 1970s, for instance) just isn't a thing any more. Car shows are everywhere too, and people know they can go to a certain bit of a city and see a line of supercars outside some posh hotel.
All that said... I'd contest that McLarens don't have that "grab" factor as you call it. Over the past six or seven years I've been fortunate enough to drive most of the "mainstream" supercars (i.e. not the hypercars, but the majority of the standard range for Porsche, Ferrari, Lamborghini, McLaren etc) and as an object of desirability, McLarens are absolutely up there with anything else you'd care to mention. And they look incredible on the road.
Now getting back to the NSX...
You're right in that it suffers the same kind of issues, maybe also that it's similar to McLaren in that regard. But it's another that I simply don't think it's possible to judge until you've spent a bit of time around the car. On the road the current NSX looks absolutely fantastic IMO - low, compact, a striking shape, just as a supercar should be.
I've posted shots from this set a few times before on GTP, but when you see the NSX in traffic it looks like a spaceship. Definitely has the impact you'd hope for (and I can confirm, McLarens look even crazier).
The irony for me is that while we all got very bored of waiting for Honda to actually release the NSX, it's now so uncommon a sight that it's gone the other way now, and seeing one is quite an event - again, as a supercar should be.