Thanks Oil Pan. That confirms what I was thinking. Cooling depends on how fast the welder transformer can dissipate heat. I2R almost always = heat. That's key no matter what size it is.
I googled transformer cooling and saw how the power companies do it. Heat sinks first, then mineral oil buckets for higher heat, then both for huge transformers. Those companies had also rather transport lighter transformers and cool them down than having a heavy one that will take an electric pole down. Those websites also share the math, which I didn't do for this experiment. If it didn't work, then I'd strip it for parts.
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