spoken like true followers of the capacitor cult.
caps are a marketing gimmick. plain and simple. they actually put more load on your alternator. how do I know? clamp your power cable while playing a constant frequency with the cap installed. now remove the cap and play the same frequency and same volume. you will be drawing more power with the cap installed because now the alternator is trying to charge your drained cap ad well. but hey, it's your money. and to alot of people, spending the small amount of money is piece of mind. though it shouldn't be. search the net, there is no tangible proof of them actually working, but tonnes to the contrary.
"Capacitor cult?"
LOL. Capacitors have their place, and alternators have their place.
Your example totally PROVES my point. Install a nice juicy 160, 180, 200A alternator and play music. During brief, loud, hits your lights will still dim. Put a voltage meter on the car, watch it indicate the voltage has dropped. A capacitor can act as a buffer for those strong, brief, demands. Yes, your alternator has to replenish the capacitor, but that happens more gradually than the amp trying to pull all that demand from the alternator at once.
Now, let's take your example. Play a test tone for a long period - now that's where you're going to see the immediate benefits of a larger alternator. The voltage regulator will have plenty of time to react to these long demands and the alternator will then begin to increase it's output, raising the current output to maintain the necessary voltage on the circuit.
In actuality, having both is probably the best solution. Capacitor to buffer the brief spikes, and an upgraded alternator to handle the longer demands and replenish the capacitor. It also depends on the type of music you listen to - more long draws form an 808 and you're going to benefit from the alternator. More brief demands from pop and rock, you're going to benefit more immediately from a capacitor. (This analysis excludes extreme situations, such as using a JL1000/1 type amp, you're going to definitely need an alternator, capacitor, and/or maybe a storage cell.)
Lets face it, most people dog on capacitors because they're a cheap fix. In reality, they do work and work pretty well in most cases - they buffer large spikes in demand. That's what capacitors do. That's their purpose in electronics - store current for demand. By the time your alternator is replenishing your capacitor, the amp is probably done with it's strong demand. Got a capacitor installed and you're still dimming your lights? Get a stronger alternator.