I agree with this entirely: Perhaps treat it more like the Tank's Tenacity stat: Piety could be what it is while also working like a weaker version of Det.
As far as stat weights go for me:
WHM - SS, Det, Crit
AST - Det, Crit, SS (Nocturnal) SS, Det, Crit (Diurnal)
SCH - Crit, Det, SS
That being said, I can only think of one class that actually would get use from this stat currently: AST.
AST has the WORST mana management. Ewer pales in comparison to thin air, assize, aether flow, & energy drain.
I could work with 0 piety on any gear and I'd be just fine.
WHM has Thin Air for instances where AOE healing would be used more than once in a 12 second window, Assize for 10% mana recovery every 48 seconds which can be reduced a further.
SCH has a Aetherflow every 30-45 seconds, and energy drain.
Meanwhile, AST has Ewer. If you have a BRD/MCH/RDM/BLM/SMN on your team, call for a shift/refresh and you're golden.
TL;DR - Piety needs a buff