I've been reading this thread with mild amusement for some two days. So far, I've resisted the urge to respond. It seems like yet another one of those threads where someone discovered electrolytic caps on the crossover board in his old speakers, and he wonders if he should 're-cap'.
I haven't read this entire thread carefully. Has the OP already checked to see if his tweeters are working? If they're dead, no re-cap effort will help them.
This thread has gone on for a number of posts, and I've yet to see a schematic diagram of the crossover. Without that, you just shooting in the dark. There are only a few parts on that crossover board. So, it should be possible to trace all the connections and come up with a diagram. I urge the OP to do that. Or, he can post a photo of the back side of the board and let others try.
A few words on the three caps on that board:
- The large yellow 12 µF is a film type cap, probably made with Mylar film. Keep it, as it won't go bad with time.
- The two smaller 12 µF and 34 µF caps covered in blue plastic, are non-polar electrolytic caps. Replace them if you must, but they don't look bad in the photo. I see no obvious bulges or leaks.
- Be sure that you understand this: Polypropylene film type capacitors (sometimes called metalized polypropylene or MPP) of the same capacitance value will be physically larger than the equivalent electrolytic caps. Make sure you have room on that small board for them, especially a replacement for that 34 µF cap. Look for MPP caps with lower voltage failure ratings, such as the 250V Dayton caps. They will have smaller dimensions than the 400V Solen or Audyn Q4 caps.
The small 0.4 mH inductor in the photo sure looks like it's air core – not iron core. Unless the coiled wire is broken or otherwise visibly damaged, don't replace it.