As far I can tell only some of the organizers (the people with the money for equipment) seem to have some ties to the fascist left. (Nowadays called Europe Socialism - they absolutely don't like Europe Socialism being called National Socialism - Europe is absolutely not National... But they don't really do anything that looks like CCC - they just spend some money there - and put a little bit of fascist propaganda on display...
And I would say at least 50% of the assemblies and Co are political. The Sea Watch people, the ones who are regularly detained by Italian authorities have their home base there.
The CCC, as an organisation, always has been a political organisation first. I wouldn’t call them a particularly successful one. But they are the opposite of agnostic or worse apolitical