Does your class affect class-related item drops?

[Heavy]

Yes, partially.
There is a system in place called item affinity.

It only affects non-unique/set items and only a portion of some item types.

@Sarno

Item-Affinity

• Some non-class specific item types are now more common for certain classes. This does not affect uniques or affect the total number of items dropped.
  • Bows and Quivers very rarely drop for non-Rogue classes, as they can only be equipped by Rogues.
  • Catalysts rarely drop for Primalists, Sentinels, and Rogues.
  • Two Handed Maces and Axes are now as common as other item types for Primalists and Sentinels, but half as common for other classes (from being 25% less common than other item types for all classes).
  • Daggers are half as common as other item types for Primalists and Sentinels.

Over all the system is not that much impactful and you can essentially farm anything on any char basically.