What I predict will happen is that all of the accumulated data—assuming that it is indeed accumulated—will be sold off, perhaps with the company itself, to Google or some market research firm where it will be analyzed for the purposes of improving advertising response rates.
Then the analysts will get bored stiff with the data and put it aside with the rest of the corporate assets of the company, and it will be sold to another company that will try to do something with it. That company will develop something completely different that's worth a lot of money, and it will merge with yet another company that will have trouble with the merger.
A bean counter will come in and go over the books, looking for ways to save money. He or she will find the archive of Twitter data. Having no concept of its value, said bean counter will tell the CEO that the company is wasting money
The storehouse will be deleted. The data destroyed.