Technician A is correct.
Electrochemical batteries can be classified into two main categories; Primary Cells and Secondary Cells.
A primary battery or cell cannot easily be recharged after use and is usually recommended to be discarded following discharge. Most primary cells are termed dry due to their capability of utilizing electrolytes contained within absorbent material.
A secondary cell, on the other hand, can be recharged electrically to their original pre-discharge condition.