The typical normal Shroud in Orien doesn't ask for bossbeaters since the caster pimp update. Hard shrouds are much more common ever since they made the number of end chests scale with difficulty.
You can think of Normal Shroud as take first 11, and Hard Shroud as having some form of screening, although a lot of people run Hard Shrouds with a base of perhaps 4-6 well-geared people and just take the first 6-8 to apply.
Cheers.