Why does a Capacitor /Condenser die.
It is made from two thin strips of metallic sheeting, normally aluminium.
These are sandwiched between layers of insulation, normally wax paper.
At the canter the leads are connected, normally mechanical, with spot welding.
These sheets are then rolled up from one side, so that the leads come off in the centre, top.
The connection is not a massive thing, and is normally kept as thin as possible to not make bumps in the rolled up sheets.
So as you have DC going through, you have a high resistance in the joint, and if the voltage is low, you can have the joint going open circuit.
That is why you get a cap, that is near top of the voltage scale rather then the bottom of its voltage scale.
That is why the cap will always give

on low voltage, and /or when you start the car. It will not start with the starter, but will take strait away when pushed.
To fix it when broken, you dent the outer can, this puts pressure on the rolled up sheets inside, and this applies mechanical pressure on the connection joint.
Now the cap works again.
And normally keep on working, as this pressure stays there, and will not brake down.\
So the morel of the story, if you have a dented beat-up cap, keep it, it will most probably out last the car.
OMO
Herman