Yes when amperage is increased so is the deposition rate. In order to keep penetration effective and prevent the puddle from moving outward from base metal, you must increase travel speed so that the arc remains on the front edge of the puddle.
Even with higher amperage, too slow of travel speed will reduce penetration because the puddle then insulates the arc from the base metal. This causes the underside of the puddle to become cold and have a lack of fusion with base metal.