Now that we've gotten off the deep end, let's return to a more practical level on the subject of capacitors in speaker crossovers.
Dennis asked a good question (above in bold). In a 3-way speaker, the woofer-mid crossover frequency is low enough to require a large capacitor in the low-pass filter for the woofer. An example is Dennis's DIY design,
the MBOW1 3-way, where that crossover frequency is 450 Hz. Here's the woofer low-pass filter:
The shunt capacitor (C1021) is large, 150 µF. A speaker designer has some choices to make based on performance and price.
A cheap NPE cap (about $4), see the two examples, both are rated at 100 volts (AC or DC is not mentioned, so assume DC):
Erse 150 µF NPE
Bennic 150 µF NPE
Or a moderately expensive ($41) MPP cap made by Solen rated at 400 V:
Solen 150 µF MPP
Or a much higher priced ($113) cap rated at 250 Vdc:
ClarityCap 155 µF MPP
Whether you are building 1 pair or 100 pairs of these speakers, the price range is large. Which one makes the best sense with regard to performance AND price?
And that is only for the woofer filter. The mid range high-pass filter has two more large caps, 110 µF and 120 µF.