(What you are saying is typically done though with parking lots in cities for sure for various reasons.)
"and you still have control of a massive chunk of land to boot"
Unless you have land in a particularly valuable location the fact that there is a building on it is going to contradict having someone purchase it for development purposes. It's being used. In other words "nothing to see here move along". And if it was in a super valuable upcoming area that would already be priced into the land cost and might be prohibitive.
I'd also would like to know what the time frame is for something like this to actually happen and how many times it has actually been done. That is, out of the entire self storage industry, how many locations (multi level for example - those larger buildings) have been raised for a higher use (with every tenant thrown out)? And something else built on the land which generates more revenue. Where a comparable piece of empty land was not available?
Of course it might be something that the REIT says marketing wise in order to enhance the appearance of the value of their properties. But to me it seems that the reality of whether that would actually happen (and how often) might be entirely different.
That said any links to this would be nice if you can pass along.
[1] For self storage that I am also familiar with they predictably raise the price every year. And it's not easy to move things out (you need a truck or you need to dispose of something.)