TIG welding heats the part a LOT more than MIG welding, with the appropriate problems of warping on thin material. It's much slower than MIG welding. It's also much more controllable, and much easier to make neat welds than with MIG, and provided you pause a lot, there's no reason why you can't run a long weld along thin metal without unduly warping it.
On balance, I currently prefer MIG over TIG when welding steel, but this may be more to do with the fact my MIG welder rarely trips the breaker, wheras the TIG does it all the time (I have a new breaker, just need the time/inclination to fit it...
Personally, I never looked at a TIG machine without AC, the only reason for getting TIG was to be able to weld Aluminium. And whilst it's a mare to begin with, once you get the hang of it it's not much harder than MIG - still slower & you have the heat to watch out for, and aluminum gets chuffing hot and STAYS hot for ages... and unlike steel there's no telltale red glow...
Having experienced a Chinese TIG welder, I wouldn't recommend it (I'm about to list my old one on eBay, you'll have to hold your nose a bit when you read the description). I landed on a Murex Transtig for £small_change which is absolutely brilliant, but it's a big chunky transformer job. It welds like you wouldn't believe, though. When it's not tripping the breaker...