Thanks for that tip. You can bet that I will be playing that sequence through until it is completely understood, and I am sure to first try a "practise run" on some old bit of pipe.
I think, in theory, the taper part and the offset eccentric parts would be done together. The small angle on the compound provides the taper, but only gets applied at a certain point from the top.
I have handed the beat up, but thankfully oversized piston to a pal who is well experienced at TIG welding, and has all the kit. He also takes apart airplane engines. He expressed some misgivings, but said he would give it a try. The plan is to thoroughly clean it up, with final acetone clean just before the weld, and then weld up the ring slots with 4032 filler. Also, under where the skirt oil ring is to go, it needs the thickening on the inside, so the oil ring can be cut.
This whole scene is driven by not having any easier way out, and not much to lose in the attempt. It still feels like madness!