I doubt that if Norway buys OpenAI, it will be the company that captures the value.
There is no inherent property to those model makers that they will capture the value of the AI boom. The model companies have a lot of competition from chinese models. Of course the US government will likely still keep some model makers alive (just alone for DOD supply chain reasons), but the chinese models will certainly compress margins.
It might as well be a chipmaker, a power company or a cobalt mining company.
Ultimately, it's up to the US government to decide if OpenAI can capture the value provided by AI: if chinese models get banned from the F500, then maybe one of america's famous duopolies can establish themselves.
But this hinges on congress mostly to pass certain laws to put OpenAI into that position. But which value does congress have? If OpenAI is owned by a bunch of Forbes 400 people like right now, then of course those will lobby the hell out of congress and ensure their stakes in OpenAI make them extremely rich.
But Norway doesn't have that access to lawmakers, they would see it as external influence by an alien power. They can certainly benefit from this trend though by being a shareholder.
To give a concrete example of the US government making life hard for foreign investors, take the T-mobile and sprint merger. T-mobile is majority owned by Deutsche Telekom AG, whose biggest shareholder are various institutions of the german federal government.
In this case, the US government just had to _approve_ the purchase, something very standard that happens all the time, but they still dragged that approval out as long as possible, even though Germany is a fellow NATO country.