Re: Should I pitch this speaker?
Most speaker damage that requires reconing is not visible on the cone. Most trouble has to do with the voicecoil being damaged of out out of alignment, so that it rubs the sides of the magnet gap, or bottoms out in its slot. We call the repair "reconing" becuase you have to remove the cone to get at the voicecoil, then replace it.
I think any name-brand speaker frame & magnet are worth saving. The magnet and frame are very tough, and can be made new by reconing. Guys like Ted Weber can even custom-tailor the speaker with a different cone/col/dustcap combination.
If this particlar speaker isn't worth more used that it costs to recone, I suspect that reconing is STILL cheaper than replacing it with a new one. Have it reconed and keep it as a spare. Better yet, have it reconed as something slightly different, and experiement.