Privatization seems like a really bad idea to me. Helium is non-renewable resource. Privatization is about being ‘efficient’ at maximising profits. Do you think the people / companies that own the helium reserves are going to be interested in keeping helium available for centuries in the future? I’d say probably not.

For a profit based company, the only motivation to preserve the helium for future use is that maybe it will be worth a lot more money in the future. But there are two big problems with that. Firstly, the timescale is likely to be too long for the profit to be of interest. And secondly, the main reason the price would go up is scarcity; and that scarcity will come sooner if the helium is wasted in the short term. (Unless one company actually has a monopoly on helium, in which case they can create artificial scarcity by just not selling it. But that would obviously be bad for other reasons.)