I have never heard mention of how a bicycle stops turning. You certainly can't lean up. It has to be countersteering to stop the turn.
A little more than when initiating the turn because of the where the weight is and the speed lost from turning.
Countersteering to turn and countersteering to stop turning.
You can throw your weight but the handlebars must turn however small that is.
Motorcycles are different because of the weight and they can put down power and not risk pedal strike. Ride a motorcycle and pull the clutch in and keep it in going round a corner. You won't do it twice.
If you end up going to slow you can't stop turning.
Countersteering is the only way to turn a bike or motorcycle and get consistent safe results at anything above a crawl.