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Thick leads are chosen not for fun. I'll suspect that this has to do with the weight of the cap. Mechanical reasons more than electrical.
Interesting, you mean thin wires have less skin effect? Can you develop this claim a bit. If you don't use Litz wire, a single wire has more skin effect than a thick. It's also good to know how big this skin effect is compared to the inductance and audio frequences. If you do some calculations you may come to the conclusion that a 1.2 mm wire has it's advantages after all.