It's totally possible to deliver 3kw in the form factor of USBC safely. Obviously there needs to be extra circuitry in both ends of the connection, but that extra circuitry should still be cheaper than today's thick dumb AC cables.
Wouldnt that take like 400V? Not sure how safe that would be.
With high voltages, it's all down to how many joules you allow to be dissipated in a human. Ie. Current*voltage*time. Specifically, anything over about 0.01 Joules is dangerous. To use high voltages in a consumer product you need to limit either the current or the time, and you need to do it in a way that is very robust to being chewed on by a baby in a bath. And it needs to be robust to that even when built by a corner-cutting factory.
One approach to that is to have either end of the link 'test' the other end - ie. Simulate a human touching the wire. If power isn't turned off fast enough to be in spec, then the remote end or cable isn't working correctly and shouldnt be used.
To supply 3000W with a 110V supply would require around 28A, which will trip any 10A or 15A breaker commonly found on most house lines going to electrical outlets, but it's well within the realm of something that could be supplied by a circuit equipped with a 30A or higher breaker and qualified wiring.
Of course at 30A or higher, we're talking about things that connect via those bulky connectors you would find on dryers and other high load electronics. Bulky for your safety, mind you.
The utter, utter majority of the world runs on something around ~230V [1], except America and Japan.
[1] https://en.wikipedia.org/wiki/Mains_electricity_by_country#/...
* https://www.youtube.com/watch?v=jMmUoZh3Hq4
My stove and clothes dryer are certainly not 120V.
Washing machines too I've heard.
For the record, USB PD 3.1 has 28V, 36V, and 48V fixed voltages enabling up to 140W, 180W and 240W:
* https://www.usb.org/usb-charger-pd