Anyone know knows how an enterprise backup system works knows that this is nearly impossible.
You'd have to know their backup practices to really know the extent of data retention but for a company that size, I offer the following example:
Since their (your) data is worth big $$$, they probably run nightly incremental, weekly backups (maybe), monthly backups, and finally yearly backups.
Given DR concerns the might have global mirrors and off-site tapes (definitely one of the two).
So all in all, one picture you post could represent literally dozens of instances. Purging all this data out would be impossible at an extremely massive burden to the company.