What's the physical size of the 2 A fuse (width hight length) ? Maybe I can help, and maybe a picture so I can see the design of the solder contacts.

I wasn't "stupid" comparing. As you and I already know the energy in a battery is a electrochemical reaction and you do get a better preforming battery after a long first charge in the Nickel-cadmium battery (NiCd) I just wanted to know if this could be achieved with a Lithium Ion battery. I now know that the instructing to charge the battery for 8 hours or more for the first time is a leftover from the nickel battery days.
Also the Li-Ion batteries age over time, regardless of whether they are used or not. A typical Li-Ion battery will last for a year and will typically need to be replaced in two years. I found information that a number of places on the Internet sell surplus Li-Ion battery packs. Many of these cells may have already past the two-year point at which their internal resistance prevents them from providing much of their energy,

I have done some reading Maybe the charge current of Li-ion should be moderate (0.5C)
The lower charge current reduces the time in which the cell resides at 4.20V. I read that a 0.5C charge only adds marginally to the charge time over 1C because the topping charge will be shorter. A high current charge tends to push the voltage up and forces it into the voltage limit prematurely.