There is a continuum of choke designs, which I think of as three varieties:
1) Designed for large AC flux and small DC flux
2) Designed for comparable levels of AC and DC flux
3) Designed for large DC and small AC flux
Type 2 includes series feed transformers and parallel feed plate chokes. These are sometimes called "linear inductors" because the air gap dominates the AC permeability over a wide range of AC flux. For these, the inductance decreases slowly with the DC flux, typically falling less than 20% at maximum DC current, depending on design choices.
Note that Type 3 is typical of power supply filter chokes. To use regular filter chokes as parafeed inductors, it's a good idea to de-rate the DC current by 20-50% to leave some flux range for the AC currents.
The above notes are still a gross simplification of plate choke performance, but this is a forum post, not a textbook :^)