I get the impression that the main problem they face is the mechanics of sharing with multiple visitors. Since computer resource sharing has been pretty well perfected over the last 40 years, I suspect this actually boils down to a lack of funds. The curse of libertarian political economies, so no change there.
The main central library branch here replaced their conventional art gallery with a set of flat screen displays. I could see an exhibition of gaming stuff (or 'digital storytelling') working quite well in the context, even if visitors can't actually interact with them? It would take more prep than just installing games on some pcs for people to play (which they would then hog for hours?). The article mentions playthrough videos.
I absolutely agree. The prep is the issue. If you want people to walk in off the street that is. Interactive story telling using the technology of CDs was brilliant 20 years ago. We bought our kids the most wonderful CD stories. Computer sharing on limited resources was mastered 40 years ago - I built my career on IBM's TSO which had 1000 users on a computer with 8 GB of memory, all thinking they were the only user. No reason a museum of any kind shouldn't be fabulous. But it has to be done right. And paid for.