Sorry, I don't have an LD10.
I did read carefully and understand what you posted about the E20. It is not conclusive. If you have a E 20 that is on one side of the tolerance variation stacking it may not be typical. Another E10 could be different.
Just as all LD10's have a tolerance variation too. Normal variation between manufactured parts are a part (but possibly not all) of this. Just as the battery has a tolerance variation.
If you add up just a small difference in each thing.....
estimating the time
battery capacity variations
Light variations
possible invisible oxidation on the contacts (wipe them all with alcohol, both ends of the battery, the spring, the head battery contact, the contact points on the tail cap junction, the head contacts and the head end of the battery tube, you could change it a lot.) I have actually fixed things that have this low a voltage that did not work just by wiping the contacts. It might even be enough to make the light brighter. I have also cleaned out swithces in a couple of clickys that did the same thing. It could even be the switch.
You could have enough variation to account for what is happening.