I o0wn a Lincoln Ranger 8, engine drive stick welder for out side welding. I guess you could weld with a flux core MIG but I'd never attempt to weld outside with anything that uses shielding gas, ever. No way could you ever maintain a gas envelope outside and I don't do flux core at all. Only solid wire and shielding gas.
One modification I did do to the cabinet, I added a rubber mat on the top so the welding machines could not slide around. The painted top of the cabinet was slick so I remedied that. Don't know how much it weighs, 3 machines and all the stuff plus 2 120 bottles, has to weigh a bunch but it rolls around with minimal effort. No way could I put the cooler under the TIG machine. The Everlast cooker is pretty tall to begin with. My old, sold Lincoln Coolmate was maybe 1/3 the size of the Everlast.