In pinciple - I agree. But only "in principle" - because:All op amps have that due to their internal 1-pole rolloff starting at a low frequency, so that their closed-loop response is stable.
It has little effect on a active-filter's closed-loop phase-shift at frequencies well below the op amp's gain-bandwidth value (which is normally were you want to be).
* Under ideal conditions (ideal amplifiers, no parts tolerances) all known filter topolgies (passive or active) can provide the desired characteristics without any deviations.
* The differences between the various structures (active, passive) are revealed under real conditions only.
And this leads - for example - to the following properties:
* The MFB topology (opamp without internal feedback) is rather sensitive to active tolerances (non-ideal properties, frequency-dependent open.loop gain Aol), but has comparable small passive sensitivities.
* The S&K topology (opamp with fixed gain) has less active sensitivities but pretty large passive sensitivities (parts tolerances).
* The best trade-off between both sensitivity properties can provide the GIC topology.


