You should look at the switch matrix diagram and see what other switches are in the row and column shared with that drop target switch. A broken wire somewhere else in the chain of switches going to or from the backbox could cause that switch to malfunction.
If all look good, then press the drop target switch closed and measure continuity between the two metal lugs on the switch with your multimeter. If that shows a good connection, then it could be that the connector going to the board needs to be re-pinned.
Just some thoughts. Take a closer look and report back.