LT3045 output isolation with LC-filter or ferrite beads

I have several chips powered by LT3045 that requies power-line isolation. Usually we can use Pi-type LC filters or ferrite beads with some capacitors on each chip's power-in port. As LC circuit can resonate on specific frequency, we usually put a large capacitor series with a small resistor to increase the ESR to do zero compensation.

But I noticed on LT3045 datasheet P16, it says "Therefore, it is very important to avoid adding extra impedance (ESR and ESL) outside the feedback loop."

I don't quite understand why we should avoid adding extra ESR outside the feedback loop. Do these LC filters or ferrite beads in my application makes LT3045 unstable and break the output?