I am of the opinion that each appliance and installation has a 'base level' of consumption that yields near zero benefit. The larger the appliance, the larger the base.
But larger bases have larger potential, not just based on surface area, but that's a big part.
Think of it like a campfire. The more kindling and larger the base of the fire, the bigger and hotter you can build it. Some are camp stoves that need slivers of wood added a little at a time, others are bonfires where you can toss in 5 foot sections of full size logs and not slow it down