GSM

The level 53 quest "Elegance and Artistry" requires that you submit a NQ Hardsilver Bangle of Casting.
The level 55 quest "Double Trouble" requires that you submit a NQ Hardsilver Ingot.
The level 58 quest "A Masterclass" requires that you submit a NQ Aurum Regis Cylinder.

ARM

The level 53 quest "Light-headed" requires that you submit a NQ Titanium Mask of Striking.

Considering every other level 53+ DoH quest requires the player to submit HQ items, I believe these are bugs.