POTS often had 36V on it to power the ringer on phones so you could potentially up the power transmission by running your system at 14V. Some devices which consume a fixed amount of power would use less current, other devices would just use more power at higher voltage.
[0] https://en.wikipedia.org/wiki/Plain_old_telephone_service [1] http://www.powerstream.com/Wire_Size.htm
You could charge a phone, but even my small laptop chargers are over 60W. The big ones are 90W.
Also don't try this in your house! pushing 3.5A through that little pinner wire it could get hot and start a fire.
But i forgot about the resistance from the load back to the source so above where I said 6m should actually be 3m. Or if two wires are parallel both from source to load and load back to source then we're back to 6m.
You can draw a tiny current without triggering the "off hook" detector, but that is miniscule.
But AWG24 cable also has a resistance of 0.08Ω/m (0.024Ω/ft). With a 10m (33ft) cable this amounts to (current has to travel both ways): R=2⋅ℓ=1.6 Ohms, at 3.5A this drops 5.6V. So, in the end you'd loose RI²=19.6W in the cable and only get 22.4W (3.5A at 6.4V) in the load...
The POTS lines would have ~50V on them in normal operation so they'd be insulated for 48V. However, V=I/R, and the lines have a constant resistance so if you can raise V and lower I you can get the same total wattage for a lower line loss. This is also why distribution networks are at 11kV and up.
Modern switching converters are pretty efficient, and you can also tailor them for the device so you don't have to double convert.
there is a good reason why we use 110-240VAC to distribute power in houses.
Is 16 ohms per thousand feet really that high?
You can use less copper for the same power with higher voltage as a reduced current is required for the same power. This is also independent of AC/DC.
We have a single 3kVA inverter for the entire boat. From this we can run clothes washer, power tools, kitchen tools, and blow dryer from our batteries. Modern wall warts are incredibly efficient. You are losing, at most, 3-5% efficiency. Plus, it's really hard to find 12V anything thats any good. A 12VDC vacuum cleaner is a joke compared to a proper AC vacuum cleaner.
Trust me whatever efficiency you think you'll be saving is better off buying more solar or bigger battery bank. Keep the distribution simple, 120/220V. Point of use inverters are for charging laptops in the car.