Were not talking about an Industrial Flux Core Welder built for the task. Were talking about a welder that an average person owns.
I'm an "average person" and own a 300 amp multi-process machine that will weld 1/2-inch metal in a single pass.
Who told me a MIG can over heat, I TOLD ME, I have used my SP175 MIG to weld a lot of heavy steel, up to 1/2", and it will shut down on you after a period of time because it has a short duty cycle when welding at high currents.
Stick machines have duty cycles too and will also shut down. The ubiquitous Lincoln 225 has a max DC output of 25V/125 Amps with a whopping 15% duty cycle. For comparison, the PowerMig 140 has a 20V/90 Amp output and 20% duty cycle - and that's comparing a 220V stick to a 120V Mig.
If you go to even a small 220V Mig (Lincoln 215 for example) - the duty cycle and available amperage is far better than the 220V stick - like 22V/215 Amps with a 30% duty cycle.
So, let's not get all wound up about how a stick welder's performance is so much greater.
Leaving you standing there waiting to finish, (next time it happens I will tell my self it is my imagination). With the waiting and the multiple passes these welders will require, you will end up with a lot more heat spreading out from your welds. I may only have 30 years of practice to your 40 but, I have seen this with my own eyes.
Hardly my experience. But, maybe I do weld prep and welding processes differently. 3/8-inch is really the limit on the 120V machines - but, it can be done with good joint preparation and multiple passes. I have four welders, and one of them is a 120 Volt machine specifically so it can be used where 220V is not easily available. I've never had the machine shutdown during a weld sequence - even on 3/8-inch metal. Granted, the welds were all under 8-inches in length, but IF you know the equipment and how it operates - you can make the welds properly.
My point is, in my opinion for a home owner who wants to weld a lot of thick metal, (1/4") and up, The stick is going to be faster and make nicer welds. Yes you have to be a welder to use one but, if your not a welder, perhaps you shouldn't be welding it in the first place.
Your more than welcome to disagree, but I have done it both ways, and I know how I'm going to do it next time.
My point is that a 220 Volt stick machine won't put out the amount of amperage available from 220 Volt Mig machine. While the stick will be a lot less expensive, if you want higher quality welds with less time spent cleaning welds, spend the extra $$$ for the 220V Mig and never look back.