The comment from the Midas person about no rust is slightly entertaining. Most people are unaware that with an all aluminum body conventional rusting is not going to be an issue. As noted, the underside of the car looks quite clean. Actually, it looks cleaner than the underside of my 2000 - almost like somebody cleaned it up with a pressure washer. If the car has been in un heated storage for 8 years and is located in an area subject to 'winter', the temperature swings will result in condensation and surface rusting on exposed steel. The brake disks may have similar rusting issues. Not desirable; but, normal.
As an observation, pictures of the top side of the car and the interior are probably a better indication of the condition of the car. If the paint and the interior look good, its not a guarantee; but, chances are that the mechanicals are also in good shape. A car that is ratty on the outside is usually ratty on the inside.
A pre delivery inspection would be desirable, even something basic from an Acura dealership as opposed to a vintage car specialist. That should be able to identify any obvious issues. Right now, I am assuming that you are taking it on faith that the engine idles smoothly, it steers straight, the electrics work, the CEL is not permanently on, the gears shift smoothly - stuff that you would pick if you could inspect and test drive the car yourself.
Problems with the engine / drive train can be expensive to repair; but, ultimately are usually 100% fixable. Problems with the body beyond fender dings and paint scratches are more complex and costly to repair, particularly since body shops capable of working on the NSX are not common. Have you run a CarFax / CarProof report on the VIN? That should flag any serious autobody work and may provide a partial maintenance history if the maintenance was carried out by conventional repair shops.
Are you considering purchasing and having it shipped to you without having seen the car in person of test driven it? If so, I would definitely recommend a PDI. If you are thinking 'is it worth flying across the country to see it and test drive it' (you didn't indicate whether it can it be driven or needs to be trailered), then maybe you can forgo the PDI if you are prepared to walk away from the deal. However, be aware that once you have committed to flying across the country it will psychologically be extremely difficult to walk away from the deal even if it is not a good deal.
If you have not run the CarFax report, do it. Its not a lot of money. It does not provide a guarantee; but, it may raise some big red flags. Finally, post the VIN here or at least use the Prime search function to find out whether there are any hits on the VIN which may provide some prior history.