Looks like the Lumintop should work with a 10440, maybe only on high? Apparently the copper version works better, and electronic tailswitch models might get messed up… Check out this thread . One note in there about an Olight working well with 10440.
Here’s another thread testing several lights with 10440’s - OP, take a look through there to see if any of those match lights you have? Maybe the BLF-348?
A quick skim of both threads only reveals several tests, but only one first-hand report of 10440 usage in a Tool preventing subsequent usage with NiMH/AAA cells.
HTH