Thin stuff warps, plain and simple. Stainless even more so. Combating it requires clamping and chill bars (essentially heat sinks you can clamp the work onto that gets rid of heat quickly). Kettles have the advantage of being round so they hold shape nicer, but coupons will heat soak and warp really easily. This is where having a good handle on TIG basics helps. The shorter you can keep the arc, and the faster you can move while getting good welds will cut down on the overall heat input to the part and reduce some of that warping. But if you're holding a long arc and moving slowly because you're still not confident, things are going to overheat and warp a lot.
A common mistake on thin stuff is to reduce amps too much, which then forces them to move slower to get good penetration, which raises the overall heat input to the part. Especially where you don't have a foot pedal you need dead on power, short arcs, and the confidence to move quick.
That's why I teach noobs on thick stuff. They need that muscle memory worked out before they move down in thickness and start dialing in all their settings.
Thats 100% true... that is exactly what happens, and I have LONG way to go to get to that point...