When you learn to ride a bike, you're simply training the feedback mechanism. Much like a PID controller, your brain has to keep track of the amount of error and null it out with proportional and integral terms (at least). Once those constants are dialed in, it's "just like riding a bike" -- they're yours for life.
Then there's the matter of learning which way to lean so that the gyroscopic instability inherent in turning doesn't send you into the nearest ditch...
The feedback mechanism you’ve described is likely correct, and also a complete furphy, since the central nervous system is not part of the bicycle.
All of which is par for the course and rather confirms the point, viz. that people will happily hold forth on any explanation they care to latch on to, secure in the knowledge that the total absence of consensus makes it impossible to say, definitively, “that is wrong”
That being said, it doesn't answer the question posed in this forum: "What scientific phenomenon do you wish someone would explain better?"
Instead, it answers the question: "What scientific phenomenon do you wish someone could explain?"
Sure, a bike could work some other way, but my point is, it doesn't need to. Anyone who has ever picked up a hard drive should understand how a bicycle remains upright. What else is there to know? It's not like an airplane wing, where the "obvious" conventional wisdom is inadequate, misleading, or incomplete.