To get back to your original concern which I believe was the fact that pressing the starter button did not result in a reading on your voltmeter.
The startup sequence on the K-bike is relatively complex, because there are multiple electronic systems on the bike interacting with each other to ensure that the engine starts. The coil on the starter relay is wired through one of these systems, the Ignition Control Unit (ICU) under the tank. The positive side of the coil gets its current through the start enable circuit, which includes the start button. The negative side of the coil is not directly connected to ground but rather connected to a pin on the ICU that gets pulled to ground through a transistor. It's highly probable that the ICU was not given correct signals by other systems on the bike, which prevented that transistor from connecting the starter relay coil to ground, which prevented the starter relay from engaging, resulting in your voltage measurement.
You can read about how the process of starting a K-bike works on
Bert's troubleshooting page. about halfway down the page in the section entitled "What's happening when you press the starter switch:".