The tax paying public aren't going to pay for that.
The existing collections can just about barely justify free entry. Most museums have a vast secondary collection that's not on display already. These items are going in a warehouse because there isn't enough money to do archaeology on them any time soon, let alone prep them for display.
For example, there's a bunch of swords 'on display' (such as it is) and then you can sort of just about see an entire sword storage/curation room off to one side, with many times more than are actually visible in some detail.
Highly recommended for people with an interest in vehicles, but there's a lot of other stuff from twentieth century consumer goods to the contents of Stephen Hawkings office on shelves there and document archives too.