My Wico Command Control that I have had for years has also had a pain of a problem for years that I have been meaning to do something about but never got around to it. I am giving it another look now.
The Fire buttons (on the stick and the base) just stop working sometimes. In the past I have turned off the computer (originally used it with a C64), unplugged the joystick and plugged it back in, turned the computer back on and then it worked again. I opened it up way back then and never found anything obviously wrong. The feather switches are in pretty good shape with only minor wear. Since they both fail at the same time, I am inclined to believe it is something with the 9 pin connector and nothing to do with switches.
Then again, this model also has a two position slide switch to activate one Fire button or both. I suppose this switch, if not working correctly, could render both Fire buttons non-functional. It too "appears" to be in good shape, though.
I could not find any other discussions about this specific problem so I take that to mean it is not a common problem.
I also have a Competition Pro joystick that works fine in the same computer but the Wico C.C. with the Fire button on the stick has always been my favorite.
I was hoping I could find replacement cables but the only thing I keep finding are cable extensions and I know just any cable will not be a good match for the enclosure. Finding a cheap, used joystick in good shape is not going well either. I am surprised to see how much people are charging for these things all beat up.