I have had a few D10 for the last one plus year and all I can say is I have absolutely no problems running them on AW 14500 protected Li-Ion batteries. The D10 on protected Li-Ion runs slightly brighter and has a more constant output throughout the whole regulation span.
I am a believer!Now GO my son, and spread the AW gospel to all who will listen.
AFAIK, those who uses Eneloop have had no problems.