You are perfectly correct you must always concern yourself with the amp draw on your
batteries. The thing about the resistance is the
batteries can't "see" it. It's downstream of the board. The board sees resistance, yes, and adjusts it's output voltage to make the set watts. But that doesn't mean anything to the
batteries. Upstream of the board is the batteries, and they don't care what the board does on the other side. Upstream, voltage is fixed (sort of, it varies with battery charge) and watts are always watts. If the board is outputting X watts, then it must draw X watts plus board losses from the batteries and it must take it at whatever voltage the batteries are supplying at that charge state. Thus, to hold watts constant, if voltage is fixed, it is current that must vary. Nothing else can as resistance is also fixed by the wire size connecting the board to the batteries. Varying the resistance on the other side of the board is not meaningful. Watts is Watts, and they stay the same.