I wouldn't exactly say timeless--the opposite in fact. Very dated to the 80s and 90s I'm afraid. That being said they do look good on the NSX in general. I think that the the NSX in general is timeless but that particular feature I feel does date the car.
Obviously Honda's marketing and research departments agreed since they nixed the pop-ups in order to presumably "update" the car.
And I don't think pop-ups will be making any kind of full-fledged comeback. They are always going to be heavier than alternatives, more moving parts that can go break, etc. They were clearly overused in the last 25 years. Every car had them--300ZX, RX-7, MKIII Supra, Ferrari 355, Vette, 911--the list goes on and on. Few cars had them before 1980 and even less (if any) have them now.
Pop-ups were nothing more than a fad. They may make an appearance in a retro sense but pop-ups are like lava lamps and mood rings. They're seen from time to time but they aren't going to be considered part of modern decor or fashion again.