Some AA lights say not to, even the old incan Mag lights say to use nothing buy alkaline. I only use the Lithiums for long term storage anyway, those are the backup for the backup.
Any short term situation or using my gear for camping or testing I use the re-chargeables. Then is the re-chargeables are all discharged and I can't charge for some reason I have alkalines and then for long term worst case I have the lithium. If it gets bad enough that I need to use the Lithiums then I'm probably going to be very careful in how I use them.
I typically rotate the alkalines in my gear once a year and the ones that came out of them go into clocks or kid toys so they don't get wasted.