Map tier/drop chance

Hi there...

Do higher tier maps generally give more loot? The background is, that I'm hunting for The Apothecary. It can be found in the crimson temple and has a drop level of 75. Now, I have a lot of tier 10 crimson temple maps, which are level 77, so they are high enough, but due to my voidstones, I also have a bunch of c.t. maps on tier 16. So, is the chance to get that divination card higher on the t16 maps, or is the tier irrelevant for a certain item to drop, provided the drop level threshold is met?

There are a couple effects which make t16s superior to t10s, and all other tiers in general. First, t10s are yellow maps, which can't roll pack size and item quantity values as high as red maps can. Second, you can't use Altars or farm for Eater/Exarch invitations under t14. Altars give you a bunch of quantity and random extra loot, and the invitations add an average of 7c per map that you do.

Finally, running t16s means that you can have all your voidstones in, which increases your map sustain.