This pretty much sums it up. At slow speeds you turn into the direction of travel, at higher speeds you counter-steer (or fight it through the turn and wish you had). My understanding of this was that it had something to do with breaking the plane of two gyroscopes, but physics isn’t my speciality. When I was riding heavy road bikes (700-830lb Harleys) counter steering was a must and no hands riding and a gentle lean for a lane change was the norm. On a bicycle, everything is slowed down and light weight (comparatively) so the physics are different (or maybe the same, but the conditions are different). And having already caught a pedal while in a fast turn, I have to agree that its best to stop pedaling for a momnent and get the inside pedal up, or you may have an unpleasant surprise in store. Scraping parts on a Harley was fine (and kind of fun); jamming a pedal into asphalt on a bike at speed is a bit different.