Why is there a difference between a golf club needing to be light as possible so you can swing harder, but if you make a ball lighter you can’t necessarily throw it further than a baseball/cricket ball?
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Balls are actually not particularly aerodynamic, meaning air resistance/drag is a significant factor on how far they can be thrown. A lighter ball would reach its terminal velocity faster.
The head of a golf club is designed to be aerodynamic, so drag is less of an issue. Also, you are providing a constant force on the club to turn it, rather than just providing an initial force and letting natural forces take over as you would with a thrown object.
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