To answer your question, a proven suction cup mount might be better for a scooter because you can move it if you don't like a location. I think quality is important for such a mount and $39.00 is a good ballpark starting price. Of course, a $39.00 mount should be well-reviewed.
Here's my story:
I bought a GoPro Hero 7 White and am looking at mounting options, too. I ride a 2018 Kymco Like 200i with less than 200 miles on the odometer.
I think the first question you have to ask is: What is the purpose of the mounted action camera?
And then your best mounting option is dependent on your answer.
After some youtube searches and exploring in this forum, I've concluded the following:
If you mount a camera for insurance liability purposes, the best mount is probably the GoPro Suction Cup mount and the best spot to place it is middle of the handle bars facing forward. Your goal is to use this video to prove liability (like an auto dash cam). I feel this is a noble reason to mount a camera and the jitters caused by the mount decrease the quality of the recording (it's called "jello" effect). I think it's good enough to use in court, if necessary. The audible recording is not important in this use case.
If you mount a camera for fun, or to record your adventure rides, and don't mind the "jello" effects, then I endorse the GoPro Suction Cup mount again because it gives you the most flexibility to move it to different locations on your scooter. Many of the members on this site suggest a video recording include a part of the scooter in the frame to provide context and perspective. The general consensus is that helmet mounts are fine, but don't capture the rider mechanics of an adventure. Some even challenge a recording from a helmet mount as "it could have been recorded from the hood of a car." If you are going to use these recordings for entertainment, then you must consider the importance of audio while riding.
If you intend to mount a camera for professional recordings (vlog, youtube, narration, etc.) then that's a different kettle of fish. In this use case, you must consider quality and quantity. I'm most entertained by motorcycle vlogs that give multiple camera angles, high-quality audio and detailed post production fades and sequencing.
For me, my use case is somewhere between dash cam and fun rides. I am going to test the default 3M sticky mounts in the center of my dashboard, but behind a tinted windscreen. I expect jittery video with "jello" effects. If I'm not happy with the quality of those recordings, then I'm going to explore the GoPro chest mount (new one). I liked the recordings that folks put on youtube. One guy even mounted a camera on his helmet and chest at the same time and uploaded a video of them side by side.