For many renown hearts, one of your options for completion is to collect an item (often this gives some completion), and return it to the heart (gives a little bit more). What I have found is that it is frequently the case for me that I’ll look at the items in my inventory and I am unsure if it’s worth the trip back to turn them in, or if I should just finish the quest in the field.
So my suggestion would be to introduce a differently colored extension to the progress bar that highlights what your completion percentage would be if you turned in all of the items you’ve collected.
Hopf Bifurcation, Norn Mesmer, We Are Owl Exterminators [OWL], No Dice [DICE]
Fort Aspenwood