I think we are saying the same thing.... sort of.
Simply put, the alternator on a bike is a current generator which can push that current at very high voltages if not controlled. It pumps out amps to the battery/electrical system, especially when it senses a low resistance like the lights turned on and/or low battery (typically after starting the bike). When the battery voltage is low, the regulator senses this, allowing rectified current (amps) to flow into the battery which causes the voltage to go up as the battery charges, to a predefined level (Usually 14.5 volts). When this voltage is reached, the regulator causes the alternator to shut off the current flow preventing an overcharging condition. So the highest current flow (or charging rate) takes place when the battery voltage is low and the opposite happens when battery voltage is high. Talking current here.
Remember, current is flow and voltage is pressure.