My guess would be damage to the voice coil, either something stuck in the gap or the VC form is warped or bent. Theoretically anything is repairable, but looking at a picture of these tweeters, it will probably be very difficult to do without damaging them, since I assume they are sealed in the back. Domes are easier because the faceplate/diaphragm can usually be separated from the magnet by removing screws. You would need to remove the cone from the frame without ripping it, then remove the spider, also without damage. Very difficult, even for a pro. IMO you're better off looking for replacements on eBay. If you can't find them, if you can figure out the specs, there's at least a half-decent chance you can replace them with something better.
Remove one tweeter and post some pics, front and back. Make sure any markings are legible in the photos.