This is what i gather on the web.
These models use an electric "choke". It's not a standard choke, in the sense that it doesn't choke off the flow of air (and make the fuel/air ratio richer). It is a device that shuts off the flow of air to the starting circuit as the scooter warms up. The bystarter is a small, black cylindrical device with two wires coming out of it. When the engine is running, 12V are applied to these wires. Over about 10 minutes or so, the bystarter warms up as the engine warms up. There is some wax in the bystarter (believe it or not) that is heated by a small heater. It expands, and extends the bystarter needle about 1/8". This is enough to close off the starting circuit.
After a number of years, the device builds up electrical resistance and it doesn't do its job any more. A new bystarter has a resistance of about 4 ohms. When resistance builds to over 10 ohms, it should be replaced.
To check for proper bystarter function, there is a complex test in the service manual that can be performed, but there is a simple test that works almost as well. Remove the bystarter and examine it. Are the wires in good shape? Is the needle in good shape? Nothing looks broken? Hook up a 12V source to the two wires. After about 10 minutes, the bystarter should become warm, and extend the needle 1/8" or so. Measure it with a pair of vernier calipers or whatever you have handy. If it extends properly it's probably ok. The only sure way to tell if it is bad is to do the full test as described in the service manual. This involves removing the carb and leaving the bystarter attached. Draw a vacuum in the starting circuit outlet. There should be little resistance when the bystarer is cold and plenty of resistance when the bystarter has been heated up. A bad bystarter will either not expand properly or not contract properly.