It's not unusual that a worn out front tire will cause exactly what you experienced, with nothing else being wrong. It happens right around the 35-40 mph zone with hands off the bars. If you don't feel any wobbling with your hands on the bars, I'd assume you just need a new tire.
A hands-off test is really not recommended on any motorcycle, no matter how well it's set up, since it doesn't tell you much and can lead to uncontrollable wobble.
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