www.batteryuniversity.com answers most of your questions about a lithium rechargeable battery but they don't know the product's charger or anything in the product (a clock?) that is draining the battery for 3 months.
They say that if a Lithium cell's voltage has stayed long at a full charge voltage of 4.20V then its life is shortened. They say that if it is discharged below about 2.5V or 3V then it is ruined.
They say that if you do not use it for any amount of time then the battery will last longer if it is stored at 3.7V to 3.8V.
The battery also has a limit for the number of charge, use then recharge. About 500 times.
My lithium rechargeable batteries are stored all winter at 3.7V then used about 100 times each summer. They last for 4 to 5 years.
A friend of mine bought 10 Cheap Chinese lithium rechargeable batteries. 5 did not work and the others lasted only for a few times.
Nobody knows what the bars on your product are showing.