Unless Ed or someone tells otherwise, my own common sense tells me that oil is just oil and burns equally hot in no magic zones as in normal magic zones. :pI.e. I strongly believe that fire and acid bombs work in those areas!
EdThKet can correct me if I'm wrong, but I believe that shifting forms (whether as a Druid, Shifter or a Polymorph/Shapechange spell) requires magic to initiate, so actually shifting within a dead magic zone shouldn't be possible. However, shifting outside the dead magic zone and keeping that form within it should be OK.
If a natural shifting class can not shift in a dead magic zone, it would not make sense that shifting and then walking into a dead magic zone doesn't break the shift either.
I guess the only argument is whether it takes some kind of magic to start the shift, and then once the shift is done it is no longer magical. I however think that is stretching it and reaching for a reason to not allow shifting classes to shift in a dead magic zone.
Personally, I do not consider Ki to be any kind of magic or supernatural energy. I just consider it a type of extreme focus and concentration.But I haven't really thought it through yet, but that's my initial thought.