These days, for most consumers, its simply not true. The things that use the most amount of electricity in the home are things that get hot. So hair dryers, electric irons, kettles and toasters. Foe most of these reducing the voltage by 10% simply means they take 10% longer to do their job and so use the same amount of electricity.
Worst case is something like a hair dryer. 10% less heat, 10% slower blower, pants.
You might argue that say the iron is an exception, because ironing takes the same amount of time, but no, it has a thermostat, and it will take
10% longer to get back to temp when it kicks in. Same with an electric oven or immersion heater.Much of the low power stuff so PC's, Phone Chargers, Flat Panel TVs have what are called Switched Mode PSU's. These adjust the amount of power they take to match the load. The same with quality LED bulbs.
The only paper I could find on this is in the internet archive (you will have to patch the URL) which looks at how much extra it costs for a 5% over voltage..
Heating, cooking, and hot water would make up three quarters of energy used in this type of domestic installation and should cost no extra if thermostatically controlled.
Dave