Always make me think of my Grans council house in Birmingham (UK) and her kettle.
If you take a 230 V kettle and connect it to 110 V, then yes it will be less powerful. Perhaps about 1/4 of the power.
With power (watts) being volts * amps that gives the power of 3120 Vs 1320 watts for UK Vs USA respectively.
This means a UK kettle can dump heat into the water up to 2.4 times faster so should boil in less than half the time.
Kettles are at the high end of power consumption as generally people want a fast boil. Lights are towards the low end as its rare for someone to want even 1000 watts of incandescent brightness.
Sure, you could use powerful kettles in the US on a 20W outlet, or on a 230V circuit, but nobody is going to do that. A typical kettle that you can just buy and plug in wherever is less powerful in the US just because you use halve the voltage but don't wire for double the current.
It didn't occur to me that Americans would settle for having less power than the rest of the world, it seems uncharacteristic somehow :)
Maybe that explains why the Americans are so attached to their boiling pots?