Mine die slowly
I have a set of 6 LiOn batteries in my mix of DeWalt and Milwaukee drills and saws. They all slow down as they near complete discharge.
I find it is more apparent when in high torque conditions, such as the 1/2" drive impact gun, using long screws and running high torque on the driver etc.
I haven't found the issues with them just shutting off but it may be that it is noticeable in low torque conditions where it can run on low power until finally dead.
I have a half dozen batteries always rotating in chargers though, so I just pop a new one in when I can't get enough torque anymore.