bryndos

yes.
Brace and bits,
screwdriver,
hammer + chisel,
a few hand planes
a few handsaws
axe.

These tools' biological battery power source can be easily re-charged on the go by inserting waste vegetable matter.
Lubricate regularly with beer (or other fermented waste vegetable matter).

That's what i mostly use; I'm dealing with wood mostly though - and of course i do it in order to pass time, not to make up rent, so slower is just fine for me.

Scythe is worth having just for the coolness of the word - unfortunately I don't have any use for one.
Adze would be another good one I'd like to find cheap and sharpen up.

But I'll grant the power tools awkward situations like up a ladder, stretching over precariously, a battery drill one handed can be useful.'

If you want tools to run off a wire, independent of battery, I'd suggest just buy mains powered tools with built in cords. It's not worth the hassle - sorry that's not a very diy answer. I think you'd find most diy tool projects would just use mains rated motors and such.

The power requirements is sort of the reason battery tools take a lot longer to charge than to run down (continuous).

Since you need approximately mains level power, then you need mains rated connectors, or probably even fatter wires depending on how much current there'll be down at 20V. The tool itself probably has thermal cutoff(s) somewhere in it if it overheats, so you don't want wires or connectors generating too much heat where that thermal cutoff won't detect it.

I'd assume you don't want to add a mains AC:DC 20V 20A converter into the "hand" tool side of the cable so that probably means thicker cables.

Mains powered tools are just designed better to do this @110/220V~. It keeps the current down so you can have thinner, lighter, longer more flexible wire.

Better just limit the USB to top up the battery at lower power.
The battery would still deplete in use, but you'd be topping it up in between.