Want plasma cutter, but no power hookup

That thing will work just fine (20A draw) on no10 wire from your dryer connection

Exactly, no problem at all running that on 10 ga. Trying to run it off a generator may give you issues though. Newer inverter welders with microprocessor control boards like a clean wave form which most generators do not supply. That leads to aggravation when they work one time and then the very next they do not.