When you ride a bicycle, there are two possible leverages to make the front pedal go down. The first is gravity and the second is the rear shoe attached to its pedal pulling up.
There is a third. The handlebars, but is not regarded good form.
Sustained light activity when using gravity as the leverage requires sustained light activity to encourage the cardiac, vascular, pulmonary and muscular systems to adapt to the demand.
Short excursions using the rear foot as leverage requires climbing steep hills repeatedly until the task seems easier or faster by encouraging the same body systems as developed in sustained light activity.
Hill climb training helps sustained light activity, but sustained light activity training does not help hill climbing.