FBs are often superior for gates, because the impedance is lossy in the range where the MOSFET would oscillate (10~100MHz?), serving the same purpose as a gate resistor of larger value (= presumably safer damping). But because it has a low DCR, and saturates during switching, it allows quite rapid switching edges (limited by the driver, or gate spreading resistance), better than a minimal value resistor, and much better than a comparable value resistor (with regards to the damping).
The waveform shows a slight time delay, corresponding to Phi_sat / Vg(on), before saturation allows it to swing. This is usually a few nanoseconds, still faster than the RC response you get with a resistor.
One downside is, they get toasty if you're driving big gates fast. Saturation means maximum core losses.
You don't normally use them for this purpose (or see them used), because component choice is tricky from a design level (FBs aren't rated in saturation current or flux), and such operation isn't usually needed (resistors are slow enough to save on EMC, at cost of efficiency).
Tim