To the OP, most you will get out of most 110v capable stick machines is 3/32" rods at best. Most cheap ones won't even do that. Top end units like my Maxstar 200 will run 1/8"rods, but can draw more than 20 amps on 110v power. That sort of defeats the "normal" house hold outlet idea. If you have to wire a 30 amp 110v outlet, why not simply run 230v and get even more output for the same hassle? To get decent output you usually need to run most of these machines on a dedicated 20 amp 110v line to get the most out of them. That's not usually possible however many times. Most household outlets are 15 amp.
You simply won't get decent output out of a machine with 110v input. Yes you can maximize what you can get by spending a lot of money on a top of the line machine like a Maxstar 200 or Dynasty 200, but you still won't really get anywhere near the output you can with those machines on 230v power. Inverters will almost always use less power than their transformer based counterparts. However that savings in power comes with a penalty at the register. You will pay considerably more for an inverter that will run 1/8" rods on average, than you will a transformer machine.