| Balancing a panelboard does not save on electric bill, a watt is a watt, and does not matter which side the watt goes thru the meter, the meter will still register the watt and the time billing you in kilowatt-hours.
Balancing a residential panel is irrelevant, due to the random draw on power. Balancing a commercial or industrial panel, because the panel can be loaded to near 100% for long periods is when balancing is important. Balancing all commercial/industrial panels ultimately affects the main service equipment, and the utility power equipment.
There can be times, purely by coincidence, or if the design was not planned, one leg can have many circuits for outlets with no or low loads, and another leg that has large equipment running for long periods of time. This can stress main equipment and the utility equipment.
Any 240 volt loads are as balanced as possible, 120 volt loads get balanced as best as possible due to the arrangement of the busbar and breakers in a panel.
Balancing is a good question, but not something you need to worry about in a home system, unless most of the lights, outlets, and appliances are on most of the day, which if you have teenagers probably seems that way, but really nothing to be concerned with.
For those interested in "balancing" a panel, the goal is to have the same or as nearly the same as possible, current draw on each hot leg. Everything in a building needs to be on, and then using an amp meter, each circuit is measured at the panel, and then the high amp circuits are moved from the high amp leg to the other leg until the circuits are arranged that both main incoming hot legs have as equal current draw as possible.
Can your source of information provide some written detail or explanation of their claims? | 
Linear Mode
