yes and no, if you have the 220 accessible I would recommend going that way. BUT! if you say build you mini in a storage shed that you rent and don't want to run a whole slew of romex to something that not yours you make do. I went from a lincoln 100 to a hobart 140 and it is definitely a notable difference in heat. It will make 1/4" glow red hot. 3/16th will burn in nicely all day long, you just need to know when the arc is burning in, and have a very good understanding of technique. Like you do not weld a vertical seam down hill with a 110 at least not any real thickness, it takes practice on speed going uphill but the welds can come out just as nice looking. Anything like 3/16th and 1/4 you must bevel the edges to allow more burn in.
I will give hobart another prop, the fact that the drive wheels can do all wire sizes .035" and smaller just by flipping the wheels. I know my last lincoln if you wanted to change wire size it meant buying wheels also. Right now I'm building my toyota backhalf with .030" flux wire, and will switch to .024" solid core with gas when it comes time to do sheet metal mods.
here is my 140 on two pieces of 1/4" I know image quality sucks but can't figure the camera out