Most of the antennas I came across have two "+" lines:
- one is the permanent power; you can connect it to the car either before or after ignition, but if you do it after ignition, antenna will not operate after ignition is off, so best it to connect it to permanent power (this is how it is originally)
- the other is a signal wire from a radio or from switch; when power appears on this wire, antenna goes up and stays, when power is cut off antenna goes down; the switch imitates the radio
The wires coming to your switch are, I think, not "up" and "down" wires, but they are "+" that is either sent to antenna by the switch (closed, up position in the switch, antenna goes up and stays up) or cut off (open, "down" position of the switch, antenna goes down).
It is shown here:
https://www.sl113.org/wiki/Electrical/Antenna?action=download&upname=AUTA2040instruction.pdfws (weiss or white) with a switch pictogram is the signal wire. rt (rot or red) is the permanent power.
If you connect power wire to permanent power and signal wire to power after ignition, through switch to the antenna, antenna will behave in the following way:
- with switch on/closed/up it will extend when you turn ignition on and will go down when you turn ignition off
- when the car is running and you put switch into off/open/down position, antenna will go down; press it up, it will go up
- with switch off/open/down nothing will happen until you switch it on
All power connections need to be fused. In W113 you probably have the permanent power from harness, all is needed is to connect signal wire to switch and switch to power after ignition, e.g. to one of the fuses that are powered after ignition (then it is a fused connection if you do it on receiver side of the fuses).