10440s all I run in my LD01, LD01 SS, LF2XT, and K-103.
With the LD01 I mostly use the medium setting which is about as bright as the LD01 on high with an Eneloop. In the medium setting, generated heat is lower, runtime is longer. But I occasionally will use a burst on high - never long periods of use on high.
I almost always have one or more somewhat larger lights (QAA, Q123, or Q123-2 - all on li-ion cells) on hand after dark, so AAA lights are merely convenience lights for me, which tend to just get occasional use for short periods of time during the day. In this capacity, the 10440 hold up for quite a while... though I periodically top them off anyway to extend life of the cells.
If you are aware of your battery's state and follow the use and charging guidelines for li-ions, and use your light more for convenience rather than heavy use, I can heartily recommend using li-ions.