Oh man! Well first: this was incredible. And second, this thing you experienced, suddenly being able to ride a normal bike again, is I think maybe a similar thing I (and many other people, I'm sure) experience learning to play pieces of music?
Especially when you're starting out on an instrument, you'll be trying to play a complex passage or figure and you'll jumble it a hundred times but then, suddenly, it just clicks. And it seems absurd that minutes ago you were totally unable.
This still happens to me today learning really complicated bluegrass banjo patterns. I'll sit there and curse my slow brain and slower fingers but then, out of nowhere, it'll just happen!