I've met dozens of owners in the area, and I have yet to meet someone who relies on the NSX for everyday driving year round.
If you want to put winter tires on it and drive it in winter, by all means do so. Just keep in mind that with winter rubber, you can drive it in light snow... but if the snow is more than a few inches deep, you may run into problems, due to its low ground clearance (even at stock ride height). Not just on open roads, but also anywhere you may need to drive over mounds of snow, such as those left over at driveway entrances after snow plows go through. It's easy enough to scrape (or rip off) that front chin spoiler in warmer times of the year, and this increases the chances of that happening.