Well, its certainly a divide.Sure, but that is nothing to do with the standing charge is it.
For me its quite simple, charges per "household" are a regressive form of charging, such as council tax, tv license and of course standing charges.
Also for people who cant afford energy costs, the sensible thing to do is to reduce consumption, but it becomes a mockery if the system fights against it by loading costs onto fixed charges. Other countries have special light user tariffs but because in the UK we seem to favour so many regressive forms of revenue collection we are sticking with it.
People who are comfortable financially and/or heavier users will of course argue it should stay the way it is.
The argument where SC is matching infrastructure costs, may or may not be right although I would dispute it it as logically higher load on the infrastructure will cause higher infrastructure costs and heavier users contribute more to that higher load.
Things funded by SC which are nothing to do with the energy suppliers (resellers) should probably be moved to be funded via general taxation. But since general taxation has a degree of linkage to "ability to pay" wealthier people pay more, then that would likely be opposed by the same people.
I am also against regional pricing.