It's not that Bozja and HW FATEs should have the same drop rate in my opinion, they should be different systems.

Bozja should have a lower drop rate for regular mobs and skirmishes, as it currently does, but then guarantee a drop with CE's and/or quest completion. With Castrum Lacus Litore guaranteeing a drop of at least 1 of each type.
For example, give Bozjan mobs a 1-2% drop chance, Skirmishes a 10-20% drop chance, and then HW FATE's a 50% drop chance. With the guaranteed drops from Bozja CE/quests, this should make the two methods more equitable, but not entirely equal, they require a different degree of engagement to obtain.