Yes, the switch just closes the circuit, same as the auto trans neutral safety switch.
The current (amperage, not voltage) those wires carry is only what it takes to energize the starter solenoid.
Probably about 1 or 2 amps, and only for the time that the starter cranks the engine.
IOW, very low current for a short amount of time, so the switch should be fine to handle that current/amperage.
Current is the flow of electricity, and amperage is the unit to measure current.
The two words sometimes get used interchangeably.
Voltage in most automotive circuits in these old cars, is "more or less" 12 to 15 volts and remains "more or less" relatively constant.
There are exceptions, but we don't need to worry about that here.
Amperage is the concern.
Any given circuit must have correctly sized wire and fuse, and properly rated components (switches as an example) for the amperage the circuit is designed for.
Too small a wire (or a switch rated for 1 amp) in a circuit that say, draws 10 amps, and the wire (or switch) will overheat and potentially cause a fire.
Wire length comes into play as well.
A very long wire carrying high amperage will need to be thicker than a short wire at the same amps.
There are wire length and gauge charts online (Google search) to help choose proper wire gauge for a given amount of current/amperage.
You would need to know the current draw of any given circuit and how long the wires are to hook it all up.
From there you find the gauge of wire that will safely carry that current for that length of wire.
Modern cars with computers and such, have other voltage requirements, in addition to the "normal" 12 volt systems.
That neutral switch on the TKO might be intended for a modern car where the engine cranking is controlled by the computer.
In that case, that switch would just be a "signal" to the computer, probably 5 volts and very low (micro) amps, so the computer knows it's ok to crank the engine.
It's still possible the switch does have a high enough amp rating to carry the start solenoid energize current for an old car.
At best the switch works for a while and then burns out and no engine crank for you.
At worst the switch overheats, causes a fire, and burns down your car.