How much a quality of the second order LP filter capacitor does influence on sound quality?
@alexberger
Based on my reading, this can be more important than the coil, even though it is in parallel. Especially if the original is an electrolytic, replacing them with even a modest film cap like a cheap Axon or Solen or Mundorf bipolar is going to be a bigger improvement than changing the coil.
Also, changing these caps is a little dicey, especially if replacing 1980's or earlier speakers, the ESR was pretty high and changes need to be compensated for. If you have relatively recent speakers (2000+) you should be fine.
Best,
E