If you're a SCH please prioritized Crit :)

[Lyrica_Ashtine]

True, but that is not a reason to pick crit over MND for example. I would gladly pick crit over SpSp, PIE or DET, but iLvl beats out everything IMO.

In most cases, yes. But it's not always true when it comes to gear choice for scholar. Demon Skirt of healing, for example.
Demon skirt of healing has:
45 mind
47 vitality
44 crit rate
22 determination
9 accuracy

Dreadwyrm tonban has:
50 mind
53 vitality
33 crit rate
36 piety
9 accuracy

Difference:
5 mind
6 vitality
11 crit rate
22 determination and 36 piety.

If I remember correctly, for healing purposes 1 mind has about the same increase as 4-5 determination. The determination on the skirt would bridge the healing output difference quite a bit. For the damage aspect, it's a bit closer to 3-4 determination. For damage purposes the skirt outweighs the tonban slightly. For choosing the skirt over the tonban, you would get 11 more crit, but you trade in 36 piety and 6 vitality. The crit may or may not be worth it, depending on how much MP you're aiming for or need and/or the vitality you require for the encounter - Although this mainly applies to T13 right now.

Another item subjected for debate for "BiS" could be the demon gloves vs ironwork gloves. But remember: Preferences and needs