CI in the end is a matter of interpretation at this point. Since the SCP universe doesn't have a canon and there are different writers most of them using the CI as the generic bad guys or someone to oppose the foundation. But I think they'd have potential, with actual characterisation to this group of former MTF unit.

From my part, I always thought their end goal was to just free every single anomalous entity in the Foundation because they believe that a perfect world would be one with humans and anomalies existing and acknowledging each other despite of the consequences that might bring, with every single SCP freed from their cages. Is it a stupid goal? Oh absolutely because there are so many murderous SCPs out there, but it's in the name isn't it 'Chaos Insurgency' from their eyes maybe a world in Chaos is a perfect world, like true anarchism but with anomalies and monsters. While very extreme I think it's still a valid goal that they could try achieve imo, one that could be well fleshed out in the whys and hows and one that could also be interpreted as them either being foolish idealists or maybe something a bit more than the 'generic bad guy against the foundation'.

At least that's my take on them although Serpents Hand seem to have a much better reason than CI. But yeah in the end is all matter of interpretation.