Seeing as Asylum set a precedent for weapon sets why not standardise.
Dungeons - Monster sets
vMA and vDSA - weapon sets
Trials - Monster sets and weapon sets
Also give the weapon sets at a std 1 piece bonus and then the special bonus on 2nd piece.
Monster sets in trials at the end of vet will give players something to farm.
Also perfected status on all Monster sets and weapin sets might be a cool addition.