According to gtr-registry there were 11,578 R34 GTR's. I think you're thinking of the R33 GTR production numbersSupply and Demand.
They only made 16,668 R34 GT-R's. figure maybe half of them are still in good enough condition to warrant a sale/importation to the USA. And then the fact that we never got them here leads to a pretty high demand for good/clean ones.
The price, well it's nuts. I think youtube and Instagram hyped them up pretty hard but it's not due strictly to American interests as these cars are being sought after strongly by people all over the world with the USA being one of the last ones to freely import them due to the upcoming 25 year rule. I don't think we've seen the ceiling yet and it would take a pretty significant world wide economic crash to see the prices ever come down.
Yeah I think it has a lot to do with it. Forbidden fruit and nostalgia. They are also really cool tech for the time which is what appeals to me mostly. I love that 90’s stuff and this seems to be the pinnacle of that eraI'm not even sure if it's those platforms. I'm guessing it's Gran Turismo and there's a lot of people that grew up with dreams to own a Skyline. Now those folks have some money and are reliving their teenage dreams. What I described is exactly the market for muscle cars and Boomers.