The dome being mashed in is definitely what is causing the issue with the super tweeter. I had a pair of Celestion Ditton 44s that had pushed in HF2000s and when they were measured they dropped off by 10dB at the crossover point for the tweeter!
There is a fix for it, and it doesn't sound good but it works. Take a tube, like an empty paper toilet roll, and put it around the dome of the tweeter and use your mouth to pull the dome out by sucking air through the tube. Sounds odd but it'll work. The dome won't be perfectly round but it will sound 10x better.
For the recap, the best way to recap is by placing the speaker on its back and then what you do is take out the Kef B139 (the oval bass driver), pry the crossover carefully from the foam it rests on, then using a stiff bristle brush clean off the back of the crossover. There should be enough slack on the wires for you to pull the crossover out of the bass drivers baffle cut out and to be able to work on it from there. Replace all of the black with red ends Elcap capacitors. Also, on this model I believe there are capacitors located on the circuit behind the speaker terminals. Take a look here and make sure to replace the capacitors here as well.
The kit from Falcon Acoustics should have all the necessary capacitors you need, and I believe Falcon will also include any capacitors that were changed if there were any revisions for that models crossover so you should be able to simply order the kit from the website and have all you need to do the recap. It doesn't hurt to send in a pic of the crossover if you want to be 100% certain of course.
Let me know if you have any questions
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