Battle Shout or Demoralizing Shout for AOE tanking?

What’s better for warrior AOE tanking? Battle shout or demoralizing shout? And why?

It is an old debate that Blizzard announced “split” fix on like october.

DS=43 per mob afflicted
BS=55 per person (included you and party pets) you buffed

So you do the math. Consider all threat you create will be splitted among all mobs in combat.

Ie. 5 man party vs 5 mobs. If you can DS all mobs you generate 215 total threat, 43 for each mob. If you BS 3 of your party you generate 165 total threat, 33 for each mob. If you BS 4 of your party you generate 220 total threat, 44 for each mob. If you BS 5 of your party you generate 275 total threat, 55 for each mob.

Basically look at the positioning and consider mobs count and/or party members you can buff with 1 BS.

One would be better than the other according the situation and numbers.