At least, that's how I remember it, but it's been a while.... I'll really have to go re-watch that actually.
Does one get any better sense of something from seeing the original something vs a replica of the something? Does looking at the "original" copy of the constitution under all that glass do anything different than a replica under all of that glass? Would seeing the actual David statue impart any more anything than seeing a replica of it? If you say yes, why do you think any of that is the actual thing and not a replica? Just because they say so?
And don't kid yourself, those keepers and creators get full access as well as anyone they deem worthy enough. The rest of us will never be granted that access.
If it's privately funded, good. It affects me nil. But if they take public funds and lock up history or nature just so it can remain pristine for the wealthy or elite to enjoy, then I don't want to have to pay for it. Not that I have a choice in the matter either way.
We also have a responsibility to preserve stuff from the past for future generations. As our ancestors have done for us.
That's assuming that the only point of museums is to exhibit the collection to the public. Certain museums—especially in archeology and the natural sciences—also exist to support researchers.