My opinion and that of my College welding instructor, Get Both. If you want structural safety-stick. Most everything else-MIG, that means with gas. A 220V Compressor and a stick welder usually do not operate on the same circuit. One is 30A, one is 50A.
I often wish I had a Plasma Cutter but I do pretty well with an angle grinder and die grinder. (I often wish I had a Corvette too but get by with a Truck or two.)
I have a 220V compressor, a 220V Arc welder and a 110V MIG. The 110V MIG allows fixing things all around the house/yard/ranch and I can take to a family members home to fix things there too.