Weight of all components impact gas mileage, acceleration, handling and amount of total emissions produced. So when given the opportunity, everything is being minimized as much as possible.
Batteries are sized based on the cranking power needed to start the engine and some reserve time for extreme cold conditions when the battery output power is less and it is more difficult for the engine to turn over. The other factor is starting the car draws a lot of current from the battery and if you shut it off and start it back up quickly enough times the battery will be dead and not start - as there is no time for the battery to recharge These batteries charge faster, so they don't need to be as large (the reserve is smaller).
In other words, technology doesn't require it to be larger
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