Is it completely unproblematic if the soft outer layers force the brittle core into a permanent bend?
At least with soft steel, the point at which it permanently bends is a strong load: one side is compressed, the other is pulled apart.
The core is not as brittle as you might be thinking.
Imagine you can magically click your fingers and have the soft cladding disappear. The thin core would spring back into straight - or close to it.
If you take this thin spring and bend it back and forth, you'd have a very flexible material. So long as the force you apply isn't concentrated in one small area, the thin metal would very happily take that force and distribute it down it's length. With a spring that thin, you could very likely bend the tip to a 90° angle (relative to the handle) over the length of the blade. It would want to flex back to straight, but click your fingers again and you have the cladding back, holding the angle of the core in place.
Check out how much flex you can get at the tip of a mono-steel blade that has a very thin taper.
There's no soft cladding, so it goes back to straight.
The reason why you're concentrating on the brittleness of core steel is because we are normally referring to the stress along the edge, which is a thickness that theoretically starts in the microscopic, and gets much thicker only just a millimetre away. Any large force you place on an edge like that will not be able to spread itself out very far, and you are likely to get a brittle failure. Spread that same force out over the length of your blade core (which also has even thickness) and the steel will not have much of a problem.
So how do you straighten your bent ZDP san-mai blade?
Just bend it in the other direction - by hand and eye.