Thicker, or most conductive (iirc)
If the electron bombardment theory holds, it would be the thicker regardless of the resistance. The pole the resistance is on won't effect the electron bombardment heating at the arc. Current flow through the resistance wire i.e. joule heating will be effected by resistance of course. The proposition here is that is not the controlling factor for the weld. I guess that would be the experiment to find out.