I think JT is right. I have not been able to correct the warp with a few hundred degrees, neither through counter bending during tempering nor by bending fresh out of the oven. I might not be aggressive enough, but I bent the blades a fair bit.
The two 0.082" thick blades I did yesterday are perfectly flat. The 0.04" blades both have a slight warp at the front pin hole in the tang. If I hold the blade down flat on a surface plate, the tang is off the plate by about 1mm at the end. If I stack four quarters on top of the end of the tang, the blade sits flat against the surface plate. I am hoping that the scales will keep the blade straight since the force required is so low.
The other thing that I did not notice immediately is that the spine is no longer straight in profile view on both of the 0.04" blades. The handle on both blades now points up a little bit and if I put the spine against a surface plate, there is a small gap of about 0.5mm on one and a bit more on the other. I am fairly convinced they were straight before HT, unless I somehow managed to grind them concave with the spine against the flat platen.
Regardless of the small flaws, I am very excited about the result. I will finish one of the thin blades and see how well it works for making Spätzle, and then see what I can improve on. I think I will get hardness testing done on the santokus in the meantime.