From what I recall, people who had Bedim on farm were saying how Bedim-normal stat distribution is really bad and most of the time you get junk. As in, not worth farming for stats. Second hand opinion, to be sure; perhaps someone who actually did it can confirm (or deny) if that is accurate take.
Again, not saying it should not be open. All instances get run once in a while, even if only for quests. Still, my guess that Bedim, once open, will be run on regular basis about as much as KT, SC or AC, which is almost-not-at-all.
IMO reason why people want to run Bedim, besides those few pieces of good easy mode gear, is because it is not around to be run. You always want what you can't have, and too often the main reason *why* you want it is because you can't have it.
-- Rustyx --- 92R / 92S / 92M on Reni (Guild KnightShift). Yes, running the new FOTM R/M, cause I am not elf enough to be WD/S.
Oh, and people who have more than 3 classes are clinically insane.