I did a silicone implant on the Shure LX’s and the clunking sound is completely gone.
I bonded all around the 9V female battery clip to the plastic case applying silicone with a toothpick on both microphones. Both mics were absolutely silent today.
Additionally, I sanded down the edges of the 9V rechargeable batteries so they would easily fit inside the battery covers.
Previously, they were so extremely tight it split all the battery covers.
Trying to thread these tight covers on to the mic body may have been a major factor in breaking the guts loose. With a battery that wanted to rotate inside the bolder, it would have put all the pressure on the battery clips.
The Shure mics are as good as new. Shure has been vindicated.
The finger now points to Radio Shack and their 9V rechargables made in Mexico.