xmas the difference between a diode and resistor is nonlinear characteristic versus linear in case of a resistor.
for any particular current the voltage across a resistor or a diode is always predictable.
you don't understand what i want to say.
more .. in case of constant current drain from batteries a simple resistor can adjust any desirable voltage drop.
for example gossen lunasix 3 is not bridge type so battrey voltage is important
so for large variation of a current " voltage regulation " using a diode is not appropriate
https://www.flickr.com/photos/5volt/8686556384/in/photostream/
from our father google :
"Mercury batteries using mercury(II) oxide cathode have a very flat discharge curve, holding constant 1.35 V (open circuit) voltage until about the last 5% of their lifetime, when their voltage drops rapidly. The voltage remains within 1% for several years at light load, and over a wide temperature range, making mercury batteries useful as a reference voltage in electronic instruments and in photographic light meters."