Oil canning / tin canning wording we still use even on metal skinned Aircraft.
Heat distortion or warping is different but still looks similar. Very difficult to remove and will require a shrinking hammer, however its a skillied thing to master. I gave it a good go with a cheap shrinking hammer and to be honest it was not good. In this particular case i should have bought a decent hammer but in the end i opted for a more expensive approach and that was to buy a Heritage Clubman bonnet.
Now you can spend sometime with a decent panel beating hammer and block to help tidy the various bits of distortion up as you weld things together. You may find the heat generated by the welder and knocking the welds back will allow you to dress things. I did that with my M Machine inner sill to first flute. Clamped eeverything in place using Intergrips, then tack welded. I dressed back as much of any distortion / warping then went on to fully welding in place. The trick here is if you are knocking the welds back flat, make sure you do not thing the metal out.
Also to prevent any further warping or to minimise it i used Frosts Cold Front. Bascially a clay type putty that is used as heat soak and also some flattened copper pipe, again to use as a heat soak but also when used under the area you are going to weld it allows you to butt weld thin metal like the floor without blowing holes.