Yes, the core is never perfectly linear, just like transformers. So some form of zero field operation is desirable.
Like zero ohm source, infinite load or Infinite impedance source and zero ohm load.
In my case I used low source impedance and relatively high load impedance. And Bias and "chonky" inductors.
See here for more on distortion and inductors...
Thor
That seems to be based on a misunderstanding The farther you move from the zero crossing, the stronger the hysteresis.
Hans