Rather than go to the trouble to change out the switch to test, this might be a time to do a pretty simple test of the switch? But which switch is suspect?
A picture of the switch from back would help to confirm my guesses!
But I think what you have should be simple enough to look at the connections on back and trace how they connect. Then if you use a meter to test that both battery and ground are getting from point to point, you can say if the switch is bad.
If it is the lower switch that turns power on/off, there is likely to be a wire bringing power to that switch and through the contacts to go out on another wire. That is likley easier to see and sort where to find test points.
What goes in has to come out!
But if it is the other switch which I would guess has 6 terminals on back, it may look much more difficult until we look closer. And being a more complex switch, that might be the first one for me to suspect!
Looks tough, but not too bad when we look at what they want to do? They have small DC motors to move the slide. To go out, the power and ground are sent to the motor on two wires we might call left and right? Then when we move it in, the power and ground have to be reversed to go out on right and left (using the easy names I made up?) !!!
That leaves me to guess that there are two center lugs that have wires going toward the motors to move the slide? But at one set of lugs, there should be battery on one and ground on the other side of that set. Then are there two wires that lead to the other end of the switch to reverse on two lugs there?
For ease of thinking, you have battery and ground to two lugs at one end and when the switch is pushed the correct direction, the two center lugs connect baterry and ground in one diorection to the motro but reversed isf we push it the other direction.
Clear as mud to talk about but not so tough if you look for that sort of wiring??
Crude idea and numbers of terminals may not match at all as different switch builders number differently!
Like a model railroad reversing switch if that is something you have done? If youy are not getting battery on one wire going to motr and then it change to swap battery and ground and if it doesn't do it relaibly and every time you move the switch from in to out, the switch contacts are very likely the problem and time to change the switch!