TIG has big advantages over gas welding. Mainly the foot or hand control, but pulse and frequency are others. Oxy/gas welding uses a lot of heat not that well concentrated. The Mico and Henrob torches help immensely. Back in WWII when aircraft were gas welded AL, Victor made a very small torch handle with a set of tips smaller than 0.
If you're going to do fusion welding on sheet metal, the fitup has to be zero tolerance. The area welded will be somewhat thinner as a function of any gap. I'm talking .000's.
The last fusion job I did was a set of flares on a sports car. I ended up using some solid MIG wire where I couldn't get a perfect fitup. I noticed some pin holes as well. The wire made sure there was enough material to join the metal.
If you leave a small crown of a bead, you can still hammer/dolly this down and grind it. So, I think it's still possible the wheel the part. Everything you do work hardens the metal, so do as little as possible to achieve your results. Retempering sheet metal is tricky business.