There are two obvious answers as to why Satan loves the teaching of Eternal Torment. (Answers are within.)

It may be just as obvious to some that Satan is the malevolent being who invented the teaching of Eternal Torment. The shock no one could have expected, however, is learning name of the organization Satan has raised up in order to disseminate this teaching. But wait—that's the relative viewpoint.

The true shock lies in discovering, via the absolute viewpoint, Who designated this group beforehand to be vessels of dishonor.