Alot of the confusion and problem with a question like this...IMO....is due to the fact that you dont actually know what amps you are running with the mig.
With TIG and Stick BOTH, you set amperage. With a mig, you have no clue what the amperage is, only volts and wire feed. So all "I" can do is guess. My wire feeder is a 225A machine. So I "assume" that cranked all the way up, it would be 225a. On the same tolken, at half wire feed and half voltage, I would "assume" it to be in the 110A range.
My machine has a wire feed of 1 to 10, and a total of 24 voltage settings. A 140a is roughly 62% of max power. So I would "assume" to achieve that, I would need to choose the # 15 heat setting. Which would be heat range 3, heat control 3. (4 selections on heat range and 6 on control). I would also need a wire feed of the 6 setting.
From experience, that is generally about where I weld 1/4" at. I could be wrong, but I think the reccomendation of NOT using the 110v machines for over 1/8" has alot to do with duty cycle. I think most are only like 30% at max. SO I think it will weld the 1/4" okay, but not good if you have alot of it to do. A larger machine is likely near 100% duty at that setting.