I agree with everything except this part - and it's EXACTLY why the people who are anti-capacitor aren't even having the right conversation, much less making the right points.
A battery and alternator are voltage sources - they simply have different voltage levels:
An alternator is 14.4v.
The only reason a battery is at 12.5v is so it charges.
It's actually not a fundamental problem for voltage to drop or headlights to dim - that's how the system works:
Say your alt is making 110a of current and you put on a track that has the bass hit for a second, every ten seconds. Let's say you have a huge sub amp, every time the bass hits, the amp sucks 150a on that huge bass hit.
What happens?
The alternator can only supply the first 110a, so voltage instantly falls and when it reaches the 12.5v battery level the battery supplies the additional 40a for that second. Headlights aren't as bright on 12v vs 14v so yeah, you'll see them dim. That's just the system working 100%as it should. And 1 second later, current demand ends, voltage rises back up - and the battery charges just about as fast. Plenty of time before the bass hits again. Not a problem.
The point is - like the springs on your car, these are voltage sources. They are like the springs on your car - they hold it up, they fundamentally support the voltage level, and supply the current.
And capacitors are like the shock absorbers on your car - you wouldn't want to drive without them... Let's add a little more reality to this-
Realistically, batteries are chemical devices and they are relatively slow to respond to current demand. They have thin plates and chemicals inside, and big sudden demands can actually physically stress them. It can crack battery plates which will kill a battery.
Just as importantly IMO, is that speed issue - let's go back to that bass hit:
Voltage drops fast, and when it reaches 12.5v, the battery tries to supply current but it's slow to respond... Voltage keeps falling.. 12v... 11.5v...11v? Could happen (and that makes for more dramatic headlight dimming). That stress on the battery plates as it pulls the voltage back up can hurt the battery, as mentioned.
Let's add a capacitor to the mix:
Bass hit, voltage drops. But a capacitor isn't a voltage source, it's at whatever system voltage is. So, as voltage drops, it discharges current that the system can use. That isn't SUPPOSED to stop voltage drop - it's supposed to SLOW voltage drop, so the battery can respond without drama, without damage.
It's not a spring, it's a shock absorber. It's definitely NOT a small battery.
That's my only correction. Hope that helps.
Personally, it's a cheap upgrade that I think every system should have - first. Well, second, after power wire. Possibly even before the "big 3", since those are simply about a relatively minor efficiency improvement.