Li-Mn may be different from LI-MN
LI-MN are rechargeable, the second letter being lower case may have some denotation of the chemistry ??
Typically CR anything is meant to be non rechargeable.
Those say Lithium-Manganese Dioxide and those often have a long shelf life of 10 years plus and don't self discharge as fast as rechargeable that lose 2% or more per month, it may be in how they are made more than the chemistry and I have heard of people recharging NON rechargeable cells but it's not the way they were built to be used.
........Lithium batteries are typically disposable where as Lithium Ion are rechargeable..........
So primary batteries are chemically charged upon construction, where as accumulator batteries first have to be charged after their construction, so again it may be more of how they are constructed rather than what they are constructed of.
Now I have to figure it out LOL
EDIT: Ok Li-Mn stamped on the battery means Lithium Manganese Dioxide, so the Li just means lithium, not Lithium Ion.
The chemistry is actually Lithium-Manganese Dioxide in this case and not meant to be rechargeable, but the self discharge rate should be much slower.
Interesting thing is as cells slowly self discharge they build up tiny pathways, but a quick reverse spike while charging can break those pathways otherwise self discharge gets faster over time.
Something we all hated about NiCad and NiMH.
https://en.wikipedia.org/wiki/Lithium_battery
https://en.wikipedia.org/wiki/Rechargeable_battery
http://www.batteryuniversity.com/learn/article/how_to_prolong_lithium_based_batteries