Can a Super Capacitor Improve the Sound Quality of Car Audio?

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My Dual Alternator Bracket
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My 370Amp Alternator
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B Stock IOXUS 12V Group 31 Smart Power Bluetooth Ultra Capacitor
Odyssey Battery ODX-AGM31 Extreme Series AGM Battery
2 North Star SMS-AGM80 Batteries
The subwoofers I'm using are found here
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They have been AWESOME for me!
The Amplifiers I'm using is here
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JL 450/4 (22 years old)
Memphis Audio PRXA1000.1 Power Reference Series Mono Subwoofer Amplifier