Scott, it's not so much that you want a "mild" steel skin, it's that you want it to be rust resistant - which seems to be the most desired facet of current consensus.
Doug, it's a dry weld, in that no flux is used.
Surfaces need to be REALLY clean on the 3-part "sandwich". Then, rolled up in numerous layers of SS heat treating foil. This is so the layers will survive about 17 minutes up at welding heat.
Then the billet is pulled from the forge and welded.
There's actually very little "forging" done to the billet afterward. We want to keep the outer layer at a consistent distance from the edge. When you have a billet up to forging heat, the core will sort of squirt out, which is where you get the core "out" at the cutting edge.
Then, as you sloooooooooooowly forge and grind, you need to pay attention to where the skin is going and where the core is going so you end up with the desired blade.
I think a person had better be emotionally prepared for a LOT of failures, both in welding and in consistency of san mai.