I guess "throwing it out" is over stating things. It gets boxed with a bunch of other keepsake stuff that I have no active need for. The sleeve really is useless when it comes to the DVD box and more gets in the way than it add anything to the box. It's not like a box-sleeve that many other DVD sets comes with where the boxes contains the folder/book of discs like the other series have.
This, however, like all BDs these days is just a box that covers a standard Blu-Ray version of an Alpha Case.
It serves no function other than to get in the way. Much like the dust-jacket of books which I'm also not much a fan of.