Can charging battery prolong its life

Concur w/Barky’s comment above, the 12 volt output OP measured doesn’t reflect the battery’s ability to deliver power to the starter motor. That’s why the mechanic used the type of tester with the lights. Those don’t measure only the voltage. They measure the battery’s ability to deliver electrical power, which is the product of voltage X amps. We commoners here refer to that as a “load test”.