Yea, but isn't it always putting out the same wattage? Why would it burn out from the battery being loaded more, it can only put out so much charge, which it's always doing to begin with.
Without getting into to AC RMS voltages and AC power factors and crap, you can think of (for DC) that watts = volts * amps. The lighting coil acts like an AC voltage source...so current (amps) is NOT created, but pulled by whatever devices are connected to it.
For a stock setup, nothing in the ski runs off of the battery...everything runs off of the voltage regulator that is charging the battery, and that regulator is getting power supplied to it from the lighting coil. This is simply due to the fact that the regulator is supplying voltage higher than the battery's voltage, by design...current flows down hill. Otherwise the battery wouldn't get charged.
And, that stock setup is designed to supply a MAX of 2A. It doesn't create the amps even if they're not being asked for...the connected devices DEMAND the amps. That's how current works in a voltage supply design. So, that coil will TRY to supply enough amps to meet the demands connected to it. This is the battery, losses in the rectifier / regulator, losses in old crusty cables and bilge pumps. And, older batteries have higher resistances that suck up more amps too.
Demanding that 2A (or more) continuously will cause the coil to overheat, cook a winding and/or break down insulation over time.
Again, the battery does nothing to help with this...by design, it just sits there as a load on the charging system. We only connect to the battery since it's easier than getting to the regulator.
The only time the battery will supply juice to the bilges directly is when things are really bad: reaching a point where the current draw from the regulator (and lighting coil) is so high that it casues the 13.5 volts to droop...and if that supply voltage gets lower than the battery's voltage, then the battery will start to power things and drain...