The spy 'experience' described is just a theme park ride or haunted house with different set dressing.This is why the answer to the OP's question is "never." "Experiences" were very popular before movie theaters even existed.
I think the "replace" part of the question is silly. Movie theaters never replaced live stage productions, in fact given population growth and increased leisure time there are probably more of those going on today than there were in Shakespeare's day. Likewise we actually have more hobbyists, archaeologists, and students making Stone Age arrowheads today than we had actual hunters making Stone Age arrowheads to hunt with during the Stone Age. Replacement is a myth in my opinion. But even if replacement were a logical model for this sort of thing, if anything it would be movie theaters which already replaced "experiences," back in the 1890s or something.
That, combined with 'you should follow me on Twitter here', has me tempted to filter out everything this guy writes. (I won't, but I'm tempted.) The 'you should follow me on Twitter here' meme started when somebody A/B-tested 'follow me on Twitter' phrases. Tons of people who read that post adopted the phrase which that one person found most effective.
Problem is, A/B-testing is extraordinarily context-sensitive, and quality is much more important than quantity on Twitter. It's not a video game where the person with the most followers wins. If anything, it's a video game where the person with the smartest, least annoying followers wins. So "you should follow me on Twitter here" is cargo-culting in the service of a goal which is questionable at best.
I basically think that meme is stupid beyond words, and I very much disagree with this blog post, but despite all this, I'm not trash-filtering this domain (I use a custom HN viewer app I wrote which trash-filters a lot of domains, e.g., TechCrunch, anything Zed Shaw). Reason is, the Aaron behind aaronsw.com also wrote a terrific Twitter conversation viewer. So, I might disagree with the guy, but I love the tool he wrote, and I use it all the time, which is really the most sincere, practical form possible of respecting somebody's idea.
rant rant rant ramble ramble ramble