I've looked at W111, W112, W108, W109, and all W113 cars. All schematics show a SW/RS/WS colored wire going to this electromagnet. Though, given the close proximity of this wire to the electromagnet I'd feel comfortable assuming it's for the electromagnet. Put a test light on it and crank the engine while cold and see if the test light comes on while cranking. This is assuming that your thermo time switch is connected and in a somewhat operational condition.