5V or 20V is OK if you device wants exactly 5V or 20V, if it wants 9V or 3.3V, then you're back to buck converters which can be happily fed from mains AC. Also the cumulative current of all these LVDC devices is not something that you can just hand-wave away. When even the humblest of phone chargers wants an amp these days, you're going to find yourself supplying large currents at very low voltage over significant distances, which is not efficient, and probably prone to voltage fluctuation with load.
Since chargers are already standardised at voltages not directly used by the electronics anyway, you don't really loose very much by simply setting the "intermediate" voltage to some standard for each power demand range.
For instance laptops can't directly use 19V, so you really need two converters in the present setup, we are only touching the "upstream" one.
Building converters into sockets is unnecessarily expensive, whereas it's trivial to just stick a converter into the socket itself if one is needed.
"Wall warts" have all manner of problems, such as the risk of damaging the converter since it just hanging off the wall from the plug, risk of non standard equipment causing all sorts of power factor issues and the like.
Building it into the socket allows the form factor of the system overall to be drastically reduced, which is important in the wire congestion that prevails in many houses these days.
DC motors are more expensive, require more maintenance and don't perform as well as 3-phase electric motors.
And yet DC capable motors are used extensively in all manner of domestic appliances, such as the aforementioned washing machines and hairdryers and similar equipment. (universal motors that can run on either AC or DC)
No domestic appliances use true three phase motors and if we are talking large industrial motors, many of them use DC anyway (see rolling mills) or use variable speed motor drives anyway, making what it is powering the converters irrelevent.
The DC/AC insulation difference and cross-section issues are really not a big problem in most cases.
DC cables would only contain 70% of the material required in AC cables of the same rated voltage and power draw.
That sounds significant to me.
The power factor correction calculations in an AC system are not difficult, you could probably get away with not doing any calculations at all and still correct most of it.
Attaching a capacitor to a DC system only deals with pulsed loads. It won't deal with voltage sag from constant loads.
Surely power factor calculations can't deal with voltage sag as that is a result of the resistance of the power line and the current being drawn?
Large scale HV inverters are not quite as cheap as I think that you think they are. The break-even point for HVDC over HVAC for land links is rather long due to the cost of the converters at each end. Also, connecting intermediary taps is much more difficult.
The breakeven point was apparently down to
70km in 1999, and the price of converter stations has dropped significantly since then, thanks to the deployment of systems such as HVDC Light.
Also, if you were going for a DC grid today you could use single level converters (with 6.5kV rated transistors) to provide 3kV to
every single house with the converter being integrated into the electricity meter.
This would allow you some rather impressive savings as you might imagine.